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Finding the Fourth Proportional to 266.44, 397.34 and 254.02

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Solution

The fourth proportional to 266.44, 397.34 and 254.02 is: 378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.44 : 397.34 = 254.02 : x
  2. Step 2: Convert to fraction form
    266.44/397.34 = 254.02/x
  3. Step 3: Cross multiply
    266.44x = 397.34 × 254.02
  4. Step 4: Simplify right side
    266.44x = 100,932.31
  5. Step 5: Solve for x
    x = 100,932.31/266.44
  6. Step 6: Final answer
    x = 378.82

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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.