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Finding the Fourth Proportional to 100.84, 152.08 and 92.92

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Solution

The fourth proportional to 100.84, 152.08 and 92.92 is: 140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.84 : 152.08 = 92.92 : x
  2. Step 2: Convert to fraction form
    100.84/152.08 = 92.92/x
  3. Step 3: Cross multiply
    100.84x = 152.08 × 92.92
  4. Step 4: Simplify right side
    100.84x = 14,131.27
  5. Step 5: Solve for x
    x = 14,131.27/100.84
  6. Step 6: Final answer
    x = 140.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.