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Finding the Fourth Proportional to 317.32, 476.01 and 111.91

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Solution

The fourth proportional to 317.32, 476.01 and 111.91 is: 167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.32 : 476.01 = 111.91 : x
  2. Step 2: Convert to fraction form
    317.32/476.01 = 111.91/x
  3. Step 3: Cross multiply
    317.32x = 476.01 × 111.91
  4. Step 4: Simplify right side
    317.32x = 53,270.28
  5. Step 5: Solve for x
    x = 53,270.28/317.32
  6. Step 6: Final answer
    x = 167.88

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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.