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Finding the Fourth Proportional to 281.91, 420.45 and 267.33

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Solution

The fourth proportional to 281.91, 420.45 and 267.33 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.91 : 420.45 = 267.33 : x
  2. Step 2: Convert to fraction form
    281.91/420.45 = 267.33/x
  3. Step 3: Cross multiply
    281.91x = 420.45 × 267.33
  4. Step 4: Simplify right side
    281.91x = 112,398.90
  5. Step 5: Solve for x
    x = 112,398.90/281.91
  6. Step 6: Final answer
    x = 398.70

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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.