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Finding the Fourth Proportional to 98.28, 147.14 and 76.84

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Solution

The fourth proportional to 98.28, 147.14 and 76.84 is: 115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.28 : 147.14 = 76.84 : x
  2. Step 2: Convert to fraction form
    98.28/147.14 = 76.84/x
  3. Step 3: Cross multiply
    98.28x = 147.14 × 76.84
  4. Step 4: Simplify right side
    98.28x = 11,306.24
  5. Step 5: Solve for x
    x = 11,306.24/98.28
  6. Step 6: Final answer
    x = 115.04

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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.