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Finding the Fourth Proportional to 118.82, 177.82 and 103.61

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Solution

The fourth proportional to 118.82, 177.82 and 103.61 is: 155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.82 : 177.82 = 103.61 : x
  2. Step 2: Convert to fraction form
    118.82/177.82 = 103.61/x
  3. Step 3: Cross multiply
    118.82x = 177.82 × 103.61
  4. Step 4: Simplify right side
    118.82x = 18,423.93
  5. Step 5: Solve for x
    x = 18,423.93/118.82
  6. Step 6: Final answer
    x = 155.06

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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.