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Finding the Fourth Proportional to 275.17, 410.79 and 265.55

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Solution

The fourth proportional to 275.17, 410.79 and 265.55 is: 396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.17 : 410.79 = 265.55 : x
  2. Step 2: Convert to fraction form
    275.17/410.79 = 265.55/x
  3. Step 3: Cross multiply
    275.17x = 410.79 × 265.55
  4. Step 4: Simplify right side
    275.17x = 109,086.31
  5. Step 5: Solve for x
    x = 109,086.31/275.17
  6. Step 6: Final answer
    x = 396.44

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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.