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Finding the Fourth Proportional to 166.30, 247.68 and 155.92

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Solution

The fourth proportional to 166.30, 247.68 and 155.92 is: 232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.30 : 247.68 = 155.92 : x
  2. Step 2: Convert to fraction form
    166.30/247.68 = 155.92/x
  3. Step 3: Cross multiply
    166.30x = 247.68 × 155.92
  4. Step 4: Simplify right side
    166.30x = 38,618.27
  5. Step 5: Solve for x
    x = 38,618.27/166.30
  6. Step 6: Final answer
    x = 232.22

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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.