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Finding the Fourth Proportional to 116.78, 160.25 and 114.55

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Solution

The fourth proportional to 116.78, 160.25 and 114.55 is: 157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 160.25 = 114.55 : x
  2. Step 2: Convert to fraction form
    116.78/160.25 = 114.55/x
  3. Step 3: Cross multiply
    116.78x = 160.25 × 114.55
  4. Step 4: Simplify right side
    116.78x = 18,355.66
  5. Step 5: Solve for x
    x = 18,355.66/116.78
  6. Step 6: Final answer
    x = 157.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.