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Finding the Fourth Proportional to 166.15, 247.86 and 159.24

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Solution

The fourth proportional to 166.15, 247.86 and 159.24 is: 237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.15 : 247.86 = 159.24 : x
  2. Step 2: Convert to fraction form
    166.15/247.86 = 159.24/x
  3. Step 3: Cross multiply
    166.15x = 247.86 × 159.24
  4. Step 4: Simplify right side
    166.15x = 39,469.46
  5. Step 5: Solve for x
    x = 39,469.46/166.15
  6. Step 6: Final answer
    x = 237.55

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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.