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Finding the Fourth Proportional to 278.48, 415.94 and 247.92

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Solution

The fourth proportional to 278.48, 415.94 and 247.92 is: 370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 415.94 = 247.92 : x
  2. Step 2: Convert to fraction form
    278.48/415.94 = 247.92/x
  3. Step 3: Cross multiply
    278.48x = 415.94 × 247.92
  4. Step 4: Simplify right side
    278.48x = 103,119.84
  5. Step 5: Solve for x
    x = 103,119.84/278.48
  6. Step 6: Final answer
    x = 370.30

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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.