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Finding the Fourth Proportional to 191.97, 288.09 and 100.78

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Solution

The fourth proportional to 191.97, 288.09 and 100.78 is: 151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.97 : 288.09 = 100.78 : x
  2. Step 2: Convert to fraction form
    191.97/288.09 = 100.78/x
  3. Step 3: Cross multiply
    191.97x = 288.09 × 100.78
  4. Step 4: Simplify right side
    191.97x = 29,032.99
  5. Step 5: Solve for x
    x = 29,032.99/191.97
  6. Step 6: Final answer
    x = 151.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.