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Finding the Fourth Proportional to 267.16, 398.21 and 254.16

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Solution

The fourth proportional to 267.16, 398.21 and 254.16 is: 378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.16 : 398.21 = 254.16 : x
  2. Step 2: Convert to fraction form
    267.16/398.21 = 254.16/x
  3. Step 3: Cross multiply
    267.16x = 398.21 × 254.16
  4. Step 4: Simplify right side
    267.16x = 101,205.79
  5. Step 5: Solve for x
    x = 101,205.79/267.16
  6. Step 6: Final answer
    x = 378.83

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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.