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Finding the Fourth Proportional to 166.42, 248.43 and 132.13

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Solution

The fourth proportional to 166.42, 248.43 and 132.13 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.42 : 248.43 = 132.13 : x
  2. Step 2: Convert to fraction form
    166.42/248.43 = 132.13/x
  3. Step 3: Cross multiply
    166.42x = 248.43 × 132.13
  4. Step 4: Simplify right side
    166.42x = 32,825.30
  5. Step 5: Solve for x
    x = 32,825.30/166.42
  6. Step 6: Final answer
    x = 197.25

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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.