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Finding the Fourth Proportional to 166.42, 249.61 and 143.88

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Solution

The fourth proportional to 166.42, 249.61 and 143.88 is: 215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.42 : 249.61 = 143.88 : x
  2. Step 2: Convert to fraction form
    166.42/249.61 = 143.88/x
  3. Step 3: Cross multiply
    166.42x = 249.61 × 143.88
  4. Step 4: Simplify right side
    166.42x = 35,913.89
  5. Step 5: Solve for x
    x = 35,913.89/166.42
  6. Step 6: Final answer
    x = 215.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.