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Finding the Fourth Proportional to 542.01, 811.99 and 267.78

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Solution

The fourth proportional to 542.01, 811.99 and 267.78 is: 401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.01 : 811.99 = 267.78 : x
  2. Step 2: Convert to fraction form
    542.01/811.99 = 267.78/x
  3. Step 3: Cross multiply
    542.01x = 811.99 × 267.78
  4. Step 4: Simplify right side
    542.01x = 217,434.68
  5. Step 5: Solve for x
    x = 217,434.68/542.01
  6. Step 6: Final answer
    x = 401.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.