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Finding the Fourth Proportional to 541.49, 811.76 and 267.71

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Solution

The fourth proportional to 541.49, 811.76 and 267.71 is: 401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 811.76 = 267.71 : x
  2. Step 2: Convert to fraction form
    541.49/811.76 = 267.71/x
  3. Step 3: Cross multiply
    541.49x = 811.76 × 267.71
  4. Step 4: Simplify right side
    541.49x = 217,310.87
  5. Step 5: Solve for x
    x = 217,310.87/541.49
  6. Step 6: Final answer
    x = 401.32

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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.