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Finding the Fourth Proportional to 267.91, 398.72 and 266.29

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Solution

The fourth proportional to 267.91, 398.72 and 266.29 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.91 : 398.72 = 266.29 : x
  2. Step 2: Convert to fraction form
    267.91/398.72 = 266.29/x
  3. Step 3: Cross multiply
    267.91x = 398.72 × 266.29
  4. Step 4: Simplify right side
    267.91x = 106,174.82
  5. Step 5: Solve for x
    x = 106,174.82/267.91
  6. Step 6: Final answer
    x = 396.31

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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.