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Finding the Fourth Proportional to 166.24, 229.35 and 99.85

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Solution

The fourth proportional to 166.24, 229.35 and 99.85 is: 137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.24 : 229.35 = 99.85 : x
  2. Step 2: Convert to fraction form
    166.24/229.35 = 99.85/x
  3. Step 3: Cross multiply
    166.24x = 229.35 × 99.85
  4. Step 4: Simplify right side
    166.24x = 22,900.60
  5. Step 5: Solve for x
    x = 22,900.60/166.24
  6. Step 6: Final answer
    x = 137.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.