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Finding the Fourth Proportional to 118.77, 177.86 and 98.42

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Solution

The fourth proportional to 118.77, 177.86 and 98.42 is: 147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.77 : 177.86 = 98.42 : x
  2. Step 2: Convert to fraction form
    118.77/177.86 = 98.42/x
  3. Step 3: Cross multiply
    118.77x = 177.86 × 98.42
  4. Step 4: Simplify right side
    118.77x = 17,505.42
  5. Step 5: Solve for x
    x = 17,505.42/118.77
  6. Step 6: Final answer
    x = 147.38

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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.