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Finding the Fourth Proportional to 166.46, 249.61 and 50.87

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Solution

The fourth proportional to 166.46, 249.61 and 50.87 is: 76.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.46 : 249.61 = 50.87 : x
  2. Step 2: Convert to fraction form
    166.46/249.61 = 50.87/x
  3. Step 3: Cross multiply
    166.46x = 249.61 × 50.87
  4. Step 4: Simplify right side
    166.46x = 12,697.41
  5. Step 5: Solve for x
    x = 12,697.41/166.46
  6. Step 6: Final answer
    x = 76.28

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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.