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Finding the Fourth Proportional to 266.72, 402.11 and 248.16

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Solution

The fourth proportional to 266.72, 402.11 and 248.16 is: 374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.72 : 402.11 = 248.16 : x
  2. Step 2: Convert to fraction form
    266.72/402.11 = 248.16/x
  3. Step 3: Cross multiply
    266.72x = 402.11 × 248.16
  4. Step 4: Simplify right side
    266.72x = 99,787.62
  5. Step 5: Solve for x
    x = 99,787.62/266.72
  6. Step 6: Final answer
    x = 374.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.