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Finding the Fourth Proportional to 100.92, 152.06 and 83.28

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Solution

The fourth proportional to 100.92, 152.06 and 83.28 is: 125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.92 : 152.06 = 83.28 : x
  2. Step 2: Convert to fraction form
    100.92/152.06 = 83.28/x
  3. Step 3: Cross multiply
    100.92x = 152.06 × 83.28
  4. Step 4: Simplify right side
    100.92x = 12,663.56
  5. Step 5: Solve for x
    x = 12,663.56/100.92
  6. Step 6: Final answer
    x = 125.48

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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.