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Finding the Fourth Proportional to 151.43, 209.06 and 114.75

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Solution

The fourth proportional to 151.43, 209.06 and 114.75 is: 158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.43 : 209.06 = 114.75 : x
  2. Step 2: Convert to fraction form
    151.43/209.06 = 114.75/x
  3. Step 3: Cross multiply
    151.43x = 209.06 × 114.75
  4. Step 4: Simplify right side
    151.43x = 23,989.06
  5. Step 5: Solve for x
    x = 23,989.06/151.43
  6. Step 6: Final answer
    x = 158.42

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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.