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Finding the Fourth Proportional to 143.74, 214.34 and 132.52

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Solution

The fourth proportional to 143.74, 214.34 and 132.52 is: 197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.74 : 214.34 = 132.52 : x
  2. Step 2: Convert to fraction form
    143.74/214.34 = 132.52/x
  3. Step 3: Cross multiply
    143.74x = 214.34 × 132.52
  4. Step 4: Simplify right side
    143.74x = 28,404.34
  5. Step 5: Solve for x
    x = 28,404.34/143.74
  6. Step 6: Final answer
    x = 197.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.