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Finding the Fourth Proportional to 275.52, 410.16 and 271.68

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Solution

The fourth proportional to 275.52, 410.16 and 271.68 is: 404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.52 : 410.16 = 271.68 : x
  2. Step 2: Convert to fraction form
    275.52/410.16 = 271.68/x
  3. Step 3: Cross multiply
    275.52x = 410.16 × 271.68
  4. Step 4: Simplify right side
    275.52x = 111,432.27
  5. Step 5: Solve for x
    x = 111,432.27/275.52
  6. Step 6: Final answer
    x = 404.44

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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.