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Finding the Fourth Proportional to 171.64, 237.07 and 116.28

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Solution

The fourth proportional to 171.64, 237.07 and 116.28 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.64 : 237.07 = 116.28 : x
  2. Step 2: Convert to fraction form
    171.64/237.07 = 116.28/x
  3. Step 3: Cross multiply
    171.64x = 237.07 × 116.28
  4. Step 4: Simplify right side
    171.64x = 27,565.92
  5. Step 5: Solve for x
    x = 27,565.92/171.64
  6. Step 6: Final answer
    x = 160.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.