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Finding the Fourth Proportional to 275.81, 410.00 and 267.62

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Solution

The fourth proportional to 275.81, 410.00 and 267.62 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 410.00 = 267.62 : x
  2. Step 2: Convert to fraction form
    275.81/410.00 = 267.62/x
  3. Step 3: Cross multiply
    275.81x = 410.00 × 267.62
  4. Step 4: Simplify right side
    275.81x = 109,720.81
  5. Step 5: Solve for x
    x = 109,720.81/275.81
  6. Step 6: Final answer
    x = 397.82

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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.