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Finding the Fourth Proportional to 317.92, 476.71 and 112.47

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Solution

The fourth proportional to 317.92, 476.71 and 112.47 is: 168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.92 : 476.71 = 112.47 : x
  2. Step 2: Convert to fraction form
    317.92/476.71 = 112.47/x
  3. Step 3: Cross multiply
    317.92x = 476.71 × 112.47
  4. Step 4: Simplify right side
    317.92x = 53,615.29
  5. Step 5: Solve for x
    x = 53,615.29/317.92
  6. Step 6: Final answer
    x = 168.65

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