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Finding the Fourth Proportional to 266.84, 398 and 251.88

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Solution

The fourth proportional to 266.84, 398 and 251.88 is: 375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.84 : 398 = 251.88 : x
  2. Step 2: Convert to fraction form
    266.84/398 = 251.88/x
  3. Step 3: Cross multiply
    266.84x = 398 × 251.88
  4. Step 4: Simplify right side
    266.84x = 100,248.24
  5. Step 5: Solve for x
    x = 100,248.24/266.84
  6. Step 6: Final answer
    x = 375.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.