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Finding the Fourth Proportional to 442.40, 663.36 and 280.24

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Solution

The fourth proportional to 442.40, 663.36 and 280.24 is: 420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.40 : 663.36 = 280.24 : x
  2. Step 2: Convert to fraction form
    442.40/663.36 = 280.24/x
  3. Step 3: Cross multiply
    442.40x = 663.36 × 280.24
  4. Step 4: Simplify right side
    442.40x = 185,900.01
  5. Step 5: Solve for x
    x = 185,900.01/442.40
  6. Step 6: Final answer
    x = 420.21

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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.