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Finding the Fourth Proportional to 317.52, 478.31 and 315.90

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Solution

The fourth proportional to 317.52, 478.31 and 315.90 is: 475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.52 : 478.31 = 315.90 : x
  2. Step 2: Convert to fraction form
    317.52/478.31 = 315.90/x
  3. Step 3: Cross multiply
    317.52x = 478.31 × 315.90
  4. Step 4: Simplify right side
    317.52x = 151,096.55
  5. Step 5: Solve for x
    x = 151,096.55/317.52
  6. Step 6: Final answer
    x = 475.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.