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Finding the Fourth Proportional to 278.97, 416.45 and 260.61

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Solution

The fourth proportional to 278.97, 416.45 and 260.61 is: 389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 416.45 = 260.61 : x
  2. Step 2: Convert to fraction form
    278.97/416.45 = 260.61/x
  3. Step 3: Cross multiply
    278.97x = 416.45 × 260.61
  4. Step 4: Simplify right side
    278.97x = 108,531.03
  5. Step 5: Solve for x
    x = 108,531.03/278.97
  6. Step 6: Final answer
    x = 389.04

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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.