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Finding the Fourth Proportional to 266.80, 400.08 and 112.64

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Solution

The fourth proportional to 266.80, 400.08 and 112.64 is: 168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 400.08 = 112.64 : x
  2. Step 2: Convert to fraction form
    266.80/400.08 = 112.64/x
  3. Step 3: Cross multiply
    266.80x = 400.08 × 112.64
  4. Step 4: Simplify right side
    266.80x = 45,065.05
  5. Step 5: Solve for x
    x = 45,065.05/266.80
  6. Step 6: Final answer
    x = 168.91

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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.