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Finding the Fourth Proportional to 151.18, 209.01 and 118.42

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Solution

The fourth proportional to 151.18, 209.01 and 118.42 is: 163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.18 : 209.01 = 118.42 : x
  2. Step 2: Convert to fraction form
    151.18/209.01 = 118.42/x
  3. Step 3: Cross multiply
    151.18x = 209.01 × 118.42
  4. Step 4: Simplify right side
    151.18x = 24,750.96
  5. Step 5: Solve for x
    x = 24,750.96/151.18
  6. Step 6: Final answer
    x = 163.72

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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.