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Finding the Fourth Proportional to 541.32, 811.53 and 267.09

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Solution

The fourth proportional to 541.32, 811.53 and 267.09 is: 400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.32 : 811.53 = 267.09 : x
  2. Step 2: Convert to fraction form
    541.32/811.53 = 267.09/x
  3. Step 3: Cross multiply
    541.32x = 811.53 × 267.09
  4. Step 4: Simplify right side
    541.32x = 216,751.55
  5. Step 5: Solve for x
    x = 216,751.55/541.32
  6. Step 6: Final answer
    x = 400.41

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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.