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Finding the Fourth Proportional to 151.74, 209.14 and 143.53

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Solution

The fourth proportional to 151.74, 209.14 and 143.53 is: 197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.74 : 209.14 = 143.53 : x
  2. Step 2: Convert to fraction form
    151.74/209.14 = 143.53/x
  3. Step 3: Cross multiply
    151.74x = 209.14 × 143.53
  4. Step 4: Simplify right side
    151.74x = 30,016.98
  5. Step 5: Solve for x
    x = 30,016.98/151.74
  6. Step 6: Final answer
    x = 197.82

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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.