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Finding the Fourth Proportional to 98.28, 146.85 and 72.42

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Solution

The fourth proportional to 98.28, 146.85 and 72.42 is: 108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.28 : 146.85 = 72.42 : x
  2. Step 2: Convert to fraction form
    98.28/146.85 = 72.42/x
  3. Step 3: Cross multiply
    98.28x = 146.85 × 72.42
  4. Step 4: Simplify right side
    98.28x = 10,634.88
  5. Step 5: Solve for x
    x = 10,634.88/98.28
  6. Step 6: Final answer
    x = 108.21

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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.