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Finding the Fourth Proportional to 278.68, 418.86 and 225.24

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Solution

The fourth proportional to 278.68, 418.86 and 225.24 is: 338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.68 : 418.86 = 225.24 : x
  2. Step 2: Convert to fraction form
    278.68/418.86 = 225.24/x
  3. Step 3: Cross multiply
    278.68x = 418.86 × 225.24
  4. Step 4: Simplify right side
    278.68x = 94,344.03
  5. Step 5: Solve for x
    x = 94,344.03/278.68
  6. Step 6: Final answer
    x = 338.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.