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Finding the Fourth Proportional to 442.32, 663.72 and 280.12

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Solution

The fourth proportional to 442.32, 663.72 and 280.12 is: 420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.32 : 663.72 = 280.12 : x
  2. Step 2: Convert to fraction form
    442.32/663.72 = 280.12/x
  3. Step 3: Cross multiply
    442.32x = 663.72 × 280.12
  4. Step 4: Simplify right side
    442.32x = 185,921.25
  5. Step 5: Solve for x
    x = 185,921.25/442.32
  6. Step 6: Final answer
    x = 420.33

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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.