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Finding the Fourth Proportional to 490.76, 677.11 and 316.21

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Solution

The fourth proportional to 490.76, 677.11 and 316.21 is: 436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.76 : 677.11 = 316.21 : x
  2. Step 2: Convert to fraction form
    490.76/677.11 = 316.21/x
  3. Step 3: Cross multiply
    490.76x = 677.11 × 316.21
  4. Step 4: Simplify right side
    490.76x = 214,108.95
  5. Step 5: Solve for x
    x = 214,108.95/490.76
  6. Step 6: Final answer
    x = 436.28

Related Problems

Find fourth proportional to 245.38, 338.56 and 158.11
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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.