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Finding the Fourth Proportional to 191.93, 288.07 and 100.69

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Solution

The fourth proportional to 191.93, 288.07 and 100.69 is: 151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.93 : 288.07 = 100.69 : x
  2. Step 2: Convert to fraction form
    191.93/288.07 = 100.69/x
  3. Step 3: Cross multiply
    191.93x = 288.07 × 100.69
  4. Step 4: Simplify right side
    191.93x = 29,006.56
  5. Step 5: Solve for x
    x = 29,006.56/191.93
  6. Step 6: Final answer
    x = 151.13

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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.