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Finding the Fourth Proportional to 118.38, 177.55 and 95.69

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Solution

The fourth proportional to 118.38, 177.55 and 95.69 is: 143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.38 : 177.55 = 95.69 : x
  2. Step 2: Convert to fraction form
    118.38/177.55 = 95.69/x
  3. Step 3: Cross multiply
    118.38x = 177.55 × 95.69
  4. Step 4: Simplify right side
    118.38x = 16,989.76
  5. Step 5: Solve for x
    x = 16,989.76/118.38
  6. Step 6: Final answer
    x = 143.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.