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Finding the Fourth Proportional to 151.44, 207.84 and 136.86

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Solution

The fourth proportional to 151.44, 207.84 and 136.86 is: 187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.44 : 207.84 = 136.86 : x
  2. Step 2: Convert to fraction form
    151.44/207.84 = 136.86/x
  3. Step 3: Cross multiply
    151.44x = 207.84 × 136.86
  4. Step 4: Simplify right side
    151.44x = 28,444.98
  5. Step 5: Solve for x
    x = 28,444.98/151.44
  6. Step 6: Final answer
    x = 187.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.