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Finding the Fourth Proportional to 275.08, 409.52 and 263.92

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Solution

The fourth proportional to 275.08, 409.52 and 263.92 is: 392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.08 : 409.52 = 263.92 : x
  2. Step 2: Convert to fraction form
    275.08/409.52 = 263.92/x
  3. Step 3: Cross multiply
    275.08x = 409.52 × 263.92
  4. Step 4: Simplify right side
    275.08x = 108,080.52
  5. Step 5: Solve for x
    x = 108,080.52/275.08
  6. Step 6: Final answer
    x = 392.91

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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.