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Finding the Fourth Proportional to 275.08, 410.57 and 263.20

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Solution

The fourth proportional to 275.08, 410.57 and 263.20 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.08 : 410.57 = 263.20 : x
  2. Step 2: Convert to fraction form
    275.08/410.57 = 263.20/x
  3. Step 3: Cross multiply
    275.08x = 410.57 × 263.20
  4. Step 4: Simplify right side
    275.08x = 108,062.02
  5. Step 5: Solve for x
    x = 108,062.02/275.08
  6. Step 6: Final answer
    x = 392.84

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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.