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Finding the Fourth Proportional to 98.28, 133.79 and 97.98

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Solution

The fourth proportional to 98.28, 133.79 and 97.98 is: 133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.28 : 133.79 = 97.98 : x
  2. Step 2: Convert to fraction form
    98.28/133.79 = 97.98/x
  3. Step 3: Cross multiply
    98.28x = 133.79 × 97.98
  4. Step 4: Simplify right side
    98.28x = 13,107.75
  5. Step 5: Solve for x
    x = 13,107.75/98.28
  6. Step 6: Final answer
    x = 133.37

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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.