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Finding the Fourth Proportional to 266.34, 399.78 and 168.96

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Solution

The fourth proportional to 266.34, 399.78 and 168.96 is: 253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.34 : 399.78 = 168.96 : x
  2. Step 2: Convert to fraction form
    266.34/399.78 = 168.96/x
  3. Step 3: Cross multiply
    266.34x = 399.78 × 168.96
  4. Step 4: Simplify right side
    266.34x = 67,546.83
  5. Step 5: Solve for x
    x = 67,546.83/266.34
  6. Step 6: Final answer
    x = 253.61

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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.