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Finding the Fourth Proportional to 100.39, 151.34 and 93.78

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Solution

The fourth proportional to 100.39, 151.34 and 93.78 is: 141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.39 : 151.34 = 93.78 : x
  2. Step 2: Convert to fraction form
    100.39/151.34 = 93.78/x
  3. Step 3: Cross multiply
    100.39x = 151.34 × 93.78
  4. Step 4: Simplify right side
    100.39x = 14,192.67
  5. Step 5: Solve for x
    x = 14,192.67/100.39
  6. Step 6: Final answer
    x = 141.38

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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.