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Finding the Fourth Proportional to 266.90, 400.34 and 74.53

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Solution

The fourth proportional to 266.90, 400.34 and 74.53 is: 111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.90 : 400.34 = 74.53 : x
  2. Step 2: Convert to fraction form
    266.90/400.34 = 74.53/x
  3. Step 3: Cross multiply
    266.90x = 400.34 × 74.53
  4. Step 4: Simplify right side
    266.90x = 29,834.97
  5. Step 5: Solve for x
    x = 29,834.97/266.90
  6. Step 6: Final answer
    x = 111.78

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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.