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Finding the Fourth Proportional to 278.70, 416.01 and 260.46

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Solution

The fourth proportional to 278.70, 416.01 and 260.46 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.70 : 416.01 = 260.46 : x
  2. Step 2: Convert to fraction form
    278.70/416.01 = 260.46/x
  3. Step 3: Cross multiply
    278.70x = 416.01 × 260.46
  4. Step 4: Simplify right side
    278.70x = 108,353.96
  5. Step 5: Solve for x
    x = 108,353.96/278.70
  6. Step 6: Final answer
    x = 388.78

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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.