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Finding the Fourth Proportional to 540.90, 746.23 and 319.69

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Solution

The fourth proportional to 540.90, 746.23 and 319.69 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.90 : 746.23 = 319.69 : x
  2. Step 2: Convert to fraction form
    540.90/746.23 = 319.69/x
  3. Step 3: Cross multiply
    540.90x = 746.23 × 319.69
  4. Step 4: Simplify right side
    540.90x = 238,562.27
  5. Step 5: Solve for x
    x = 238,562.27/540.90
  6. Step 6: Final answer
    x = 441.05

Related Problems

Find fourth proportional to 270.45, 373.12 and 159.85
Half scale
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Double scale
Find fourth proportional to 541.90, 747.61 and 320.69
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.