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Finding the Fourth Proportional to 294.56, 439.45 and 280.21

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Solution

The fourth proportional to 294.56, 439.45 and 280.21 is: 418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.56 : 439.45 = 280.21 : x
  2. Step 2: Convert to fraction form
    294.56/439.45 = 280.21/x
  3. Step 3: Cross multiply
    294.56x = 439.45 × 280.21
  4. Step 4: Simplify right side
    294.56x = 123,138.10
  5. Step 5: Solve for x
    x = 123,138.10/294.56
  6. Step 6: Final answer
    x = 418.04

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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.