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Finding the Fourth Proportional to 508.22, 701.31 and 311.69

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Solution

The fourth proportional to 508.22, 701.31 and 311.69 is: 430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.22 : 701.31 = 311.69 : x
  2. Step 2: Convert to fraction form
    508.22/701.31 = 311.69/x
  3. Step 3: Cross multiply
    508.22x = 701.31 × 311.69
  4. Step 4: Simplify right side
    508.22x = 218,591.31
  5. Step 5: Solve for x
    x = 218,591.31/508.22
  6. Step 6: Final answer
    x = 430.11

Related Problems

Find fourth proportional to 254.11, 350.66 and 155.85
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.