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Finding the Fourth Proportional to 118.40, 177.30 and 103.86

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Solution

The fourth proportional to 118.40, 177.30 and 103.86 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 177.30 = 103.86 : x
  2. Step 2: Convert to fraction form
    118.40/177.30 = 103.86/x
  3. Step 3: Cross multiply
    118.40x = 177.30 × 103.86
  4. Step 4: Simplify right side
    118.40x = 18,414.38
  5. Step 5: Solve for x
    x = 18,414.38/118.40
  6. Step 6: Final answer
    x = 155.53

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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.