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Finding the Fourth Proportional to 166.76, 250.18 and 51.20

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Solution

The fourth proportional to 166.76, 250.18 and 51.20 is: 76.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.76 : 250.18 = 51.20 : x
  2. Step 2: Convert to fraction form
    166.76/250.18 = 51.20/x
  3. Step 3: Cross multiply
    166.76x = 250.18 × 51.20
  4. Step 4: Simplify right side
    166.76x = 12,810.47
  5. Step 5: Solve for x
    x = 12,810.47/166.76
  6. Step 6: Final answer
    x = 76.82

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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.