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Finding the Fourth Proportional to 166.08, 247.84 and 147.90

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Solution

The fourth proportional to 166.08, 247.84 and 147.90 is: 220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 247.84 = 147.90 : x
  2. Step 2: Convert to fraction form
    166.08/247.84 = 147.90/x
  3. Step 3: Cross multiply
    166.08x = 247.84 × 147.90
  4. Step 4: Simplify right side
    166.08x = 36,655.54
  5. Step 5: Solve for x
    x = 36,655.54/166.08
  6. Step 6: Final answer
    x = 220.71

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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.