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Finding the Fourth Proportional to 98.97, 147.89 and 96.69

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Solution

The fourth proportional to 98.97, 147.89 and 96.69 is: 144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 147.89 = 96.69 : x
  2. Step 2: Convert to fraction form
    98.97/147.89 = 96.69/x
  3. Step 3: Cross multiply
    98.97x = 147.89 × 96.69
  4. Step 4: Simplify right side
    98.97x = 14,299.73
  5. Step 5: Solve for x
    x = 14,299.73/98.97
  6. Step 6: Final answer
    x = 144.49

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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.