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Finding the Fourth Proportional to 118.76, 177.90 and 97.40

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Solution

The fourth proportional to 118.76, 177.90 and 97.40 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.76 : 177.90 = 97.40 : x
  2. Step 2: Convert to fraction form
    118.76/177.90 = 97.40/x
  3. Step 3: Cross multiply
    118.76x = 177.90 × 97.40
  4. Step 4: Simplify right side
    118.76x = 17,327.46
  5. Step 5: Solve for x
    x = 17,327.46/118.76
  6. Step 6: Final answer
    x = 145.90

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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.