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Finding the Fourth Proportional to 151.96, 209.64 and 99.49

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Solution

The fourth proportional to 151.96, 209.64 and 99.49 is: 137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.96 : 209.64 = 99.49 : x
  2. Step 2: Convert to fraction form
    151.96/209.64 = 99.49/x
  3. Step 3: Cross multiply
    151.96x = 209.64 × 99.49
  4. Step 4: Simplify right side
    151.96x = 20,856.56
  5. Step 5: Solve for x
    x = 20,856.56/151.96
  6. Step 6: Final answer
    x = 137.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.