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Finding the Fourth Proportional to 100.84, 138.98 and 74.92

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Solution

The fourth proportional to 100.84, 138.98 and 74.92 is: 103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.84 : 138.98 = 74.92 : x
  2. Step 2: Convert to fraction form
    100.84/138.98 = 74.92/x
  3. Step 3: Cross multiply
    100.84x = 138.98 × 74.92
  4. Step 4: Simplify right side
    100.84x = 10,412.38
  5. Step 5: Solve for x
    x = 10,412.38/100.84
  6. Step 6: Final answer
    x = 103.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.