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Finding the Fourth Proportional to 116.10, 160.25 and 109.55

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Solution

The fourth proportional to 116.10, 160.25 and 109.55 is: 151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 160.25 = 109.55 : x
  2. Step 2: Convert to fraction form
    116.10/160.25 = 109.55/x
  3. Step 3: Cross multiply
    116.10x = 160.25 × 109.55
  4. Step 4: Simplify right side
    116.10x = 17,555.24
  5. Step 5: Solve for x
    x = 17,555.24/116.10
  6. Step 6: Final answer
    x = 151.21

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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.