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Finding the Fourth Proportional to 166.50, 250.34 and 155.79

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Solution

The fourth proportional to 166.50, 250.34 and 155.79 is: 234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 250.34 = 155.79 : x
  2. Step 2: Convert to fraction form
    166.50/250.34 = 155.79/x
  3. Step 3: Cross multiply
    166.50x = 250.34 × 155.79
  4. Step 4: Simplify right side
    166.50x = 38,999.69
  5. Step 5: Solve for x
    x = 38,999.69/166.50
  6. Step 6: Final answer
    x = 234.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.