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Finding the Fourth Proportional to 98.49, 134.22 and 98.13

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Solution

The fourth proportional to 98.49, 134.22 and 98.13 is: 133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.49 : 134.22 = 98.13 : x
  2. Step 2: Convert to fraction form
    98.49/134.22 = 98.13/x
  3. Step 3: Cross multiply
    98.49x = 134.22 × 98.13
  4. Step 4: Simplify right side
    98.49x = 13,171.01
  5. Step 5: Solve for x
    x = 13,171.01/98.49
  6. Step 6: Final answer
    x = 133.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.