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Finding the Fourth Proportional to 118.20, 176.31 and 102.04

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Solution

The fourth proportional to 118.20, 176.31 and 102.04 is: 152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.20 : 176.31 = 102.04 : x
  2. Step 2: Convert to fraction form
    118.20/176.31 = 102.04/x
  3. Step 3: Cross multiply
    118.20x = 176.31 × 102.04
  4. Step 4: Simplify right side
    118.20x = 17,990.16
  5. Step 5: Solve for x
    x = 17,990.16/118.20
  6. Step 6: Final answer
    x = 152.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.