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Finding the Fourth Proportional to 118.34, 176.68 and 100.12

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Solution

The fourth proportional to 118.34, 176.68 and 100.12 is: 149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.34 : 176.68 = 100.12 : x
  2. Step 2: Convert to fraction form
    118.34/176.68 = 100.12/x
  3. Step 3: Cross multiply
    118.34x = 176.68 × 100.12
  4. Step 4: Simplify right side
    118.34x = 17,689.20
  5. Step 5: Solve for x
    x = 17,689.20/118.34
  6. Step 6: Final answer
    x = 149.48

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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.