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Finding the Fourth Proportional to 278.20, 415.27 and 259.96

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Solution

The fourth proportional to 278.20, 415.27 and 259.96 is: 388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.20 : 415.27 = 259.96 : x
  2. Step 2: Convert to fraction form
    278.20/415.27 = 259.96/x
  3. Step 3: Cross multiply
    278.20x = 415.27 × 259.96
  4. Step 4: Simplify right side
    278.20x = 107,953.59
  5. Step 5: Solve for x
    x = 107,953.59/278.20
  6. Step 6: Final answer
    x = 388.04

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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.