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Finding the Fourth Proportional to 541.61, 811.20 and 267.10

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Solution

The fourth proportional to 541.61, 811.20 and 267.10 is: 400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.61 : 811.20 = 267.10 : x
  2. Step 2: Convert to fraction form
    541.61/811.20 = 267.10/x
  3. Step 3: Cross multiply
    541.61x = 811.20 × 267.10
  4. Step 4: Simplify right side
    541.61x = 216,668.99
  5. Step 5: Solve for x
    x = 216,668.99/541.61
  6. Step 6: Final answer
    x = 400.04

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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.