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Finding the Fourth Proportional to 166.40, 229.80 and 157.76

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Solution

The fourth proportional to 166.40, 229.80 and 157.76 is: 217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.40 : 229.80 = 157.76 : x
  2. Step 2: Convert to fraction form
    166.40/229.80 = 157.76/x
  3. Step 3: Cross multiply
    166.40x = 229.80 × 157.76
  4. Step 4: Simplify right side
    166.40x = 36,253.25
  5. Step 5: Solve for x
    x = 36,253.25/166.40
  6. Step 6: Final answer
    x = 217.87

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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.