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Finding the Fourth Proportional to 266.35, 399.15 and 168.61

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Solution

The fourth proportional to 266.35, 399.15 and 168.61 is: 252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.35 : 399.15 = 168.61 : x
  2. Step 2: Convert to fraction form
    266.35/399.15 = 168.61/x
  3. Step 3: Cross multiply
    266.35x = 399.15 × 168.61
  4. Step 4: Simplify right side
    266.35x = 67,300.68
  5. Step 5: Solve for x
    x = 67,300.68/266.35
  6. Step 6: Final answer
    x = 252.68

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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.