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Finding the Fourth Proportional to 166.50, 250.62 and 146.66

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Solution

The fourth proportional to 166.50, 250.62 and 146.66 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 250.62 = 146.66 : x
  2. Step 2: Convert to fraction form
    166.50/250.62 = 146.66/x
  3. Step 3: Cross multiply
    166.50x = 250.62 × 146.66
  4. Step 4: Simplify right side
    166.50x = 36,755.93
  5. Step 5: Solve for x
    x = 36,755.93/166.50
  6. Step 6: Final answer
    x = 220.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.