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Finding the Fourth Proportional to 317.66, 476.65 and 112.38

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Solution

The fourth proportional to 317.66, 476.65 and 112.38 is: 168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 476.65 = 112.38 : x
  2. Step 2: Convert to fraction form
    317.66/476.65 = 112.38/x
  3. Step 3: Cross multiply
    317.66x = 476.65 × 112.38
  4. Step 4: Simplify right side
    317.66x = 53,565.65
  5. Step 5: Solve for x
    x = 53,565.65/317.66
  6. Step 6: Final answer
    x = 168.62

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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.