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Finding the Fourth Proportional to 116.54, 159.75 and 114.47

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Solution

The fourth proportional to 116.54, 159.75 and 114.47 is: 156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.54 : 159.75 = 114.47 : x
  2. Step 2: Convert to fraction form
    116.54/159.75 = 114.47/x
  3. Step 3: Cross multiply
    116.54x = 159.75 × 114.47
  4. Step 4: Simplify right side
    116.54x = 18,286.58
  5. Step 5: Solve for x
    x = 18,286.58/116.54
  6. Step 6: Final answer
    x = 156.91

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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.