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Finding the Fourth Proportional to 116.55, 160.68 and 112.97

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Solution

The fourth proportional to 116.55, 160.68 and 112.97 is: 155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.55 : 160.68 = 112.97 : x
  2. Step 2: Convert to fraction form
    116.55/160.68 = 112.97/x
  3. Step 3: Cross multiply
    116.55x = 160.68 × 112.97
  4. Step 4: Simplify right side
    116.55x = 18,151.64
  5. Step 5: Solve for x
    x = 18,151.64/116.55
  6. Step 6: Final answer
    x = 155.74

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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.