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Finding the Fourth Proportional to 275.34, 410.03 and 263.50

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Solution

The fourth proportional to 275.34, 410.03 and 263.50 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 410.03 = 263.50 : x
  2. Step 2: Convert to fraction form
    275.34/410.03 = 263.50/x
  3. Step 3: Cross multiply
    275.34x = 410.03 × 263.50
  4. Step 4: Simplify right side
    275.34x = 108,042.54
  5. Step 5: Solve for x
    x = 108,042.54/275.34
  6. Step 6: Final answer
    x = 392.40

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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.