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Finding the Fourth Proportional to 166.16, 247.77 and 154.61

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Solution

The fourth proportional to 166.16, 247.77 and 154.61 is: 230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.16 : 247.77 = 154.61 : x
  2. Step 2: Convert to fraction form
    166.16/247.77 = 154.61/x
  3. Step 3: Cross multiply
    166.16x = 247.77 × 154.61
  4. Step 4: Simplify right side
    166.16x = 38,306.95
  5. Step 5: Solve for x
    x = 38,306.95/166.16
  6. Step 6: Final answer
    x = 230.55

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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.