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Finding the Fourth Proportional to 442.09, 663.68 and 280.45

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Solution

The fourth proportional to 442.09, 663.68 and 280.45 is: 421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.09 : 663.68 = 280.45 : x
  2. Step 2: Convert to fraction form
    442.09/663.68 = 280.45/x
  3. Step 3: Cross multiply
    442.09x = 663.68 × 280.45
  4. Step 4: Simplify right side
    442.09x = 186,129.06
  5. Step 5: Solve for x
    x = 186,129.06/442.09
  6. Step 6: Final answer
    x = 421.02

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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.