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Finding the Fourth Proportional to 442.68, 663.30 and 280.23

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Solution

The fourth proportional to 442.68, 663.30 and 280.23 is: 419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.68 : 663.30 = 280.23 : x
  2. Step 2: Convert to fraction form
    442.68/663.30 = 280.23/x
  3. Step 3: Cross multiply
    442.68x = 663.30 × 280.23
  4. Step 4: Simplify right side
    442.68x = 185,876.56
  5. Step 5: Solve for x
    x = 185,876.56/442.68
  6. Step 6: Final answer
    x = 419.89

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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.