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Finding the Fourth Proportional to 118.16, 176.25 and 99.02

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Solution

The fourth proportional to 118.16, 176.25 and 99.02 is: 147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.16 : 176.25 = 99.02 : x
  2. Step 2: Convert to fraction form
    118.16/176.25 = 99.02/x
  3. Step 3: Cross multiply
    118.16x = 176.25 × 99.02
  4. Step 4: Simplify right side
    118.16x = 17,450.90
  5. Step 5: Solve for x
    x = 17,450.90/118.16
  6. Step 6: Final answer
    x = 147.69

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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.