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Finding the Fourth Proportional to 266.88, 398.13 and 257.42

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Solution

The fourth proportional to 266.88, 398.13 and 257.42 is: 384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.88 : 398.13 = 257.42 : x
  2. Step 2: Convert to fraction form
    266.88/398.13 = 257.42/x
  3. Step 3: Cross multiply
    266.88x = 398.13 × 257.42
  4. Step 4: Simplify right side
    266.88x = 102,487.62
  5. Step 5: Solve for x
    x = 102,487.62/266.88
  6. Step 6: Final answer
    x = 384.02

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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.