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Finding the Fourth Proportional to 317.31, 475.65 and 220.92

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Solution

The fourth proportional to 317.31, 475.65 and 220.92 is: 331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.31 : 475.65 = 220.92 : x
  2. Step 2: Convert to fraction form
    317.31/475.65 = 220.92/x
  3. Step 3: Cross multiply
    317.31x = 475.65 × 220.92
  4. Step 4: Simplify right side
    317.31x = 105,080.60
  5. Step 5: Solve for x
    x = 105,080.60/317.31
  6. Step 6: Final answer
    x = 331.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.