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Finding the Fourth Proportional to 118.02, 176.79 and 98.71

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Solution

The fourth proportional to 118.02, 176.79 and 98.71 is: 147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 176.79 = 98.71 : x
  2. Step 2: Convert to fraction form
    118.02/176.79 = 98.71/x
  3. Step 3: Cross multiply
    118.02x = 176.79 × 98.71
  4. Step 4: Simplify right side
    118.02x = 17,450.94
  5. Step 5: Solve for x
    x = 17,450.94/118.02
  6. Step 6: Final answer
    x = 147.86

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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.