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Finding the Fourth Proportional to 442.24, 662.28 and 280.24

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Solution

The fourth proportional to 442.24, 662.28 and 280.24 is: 419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 662.28 = 280.24 : x
  2. Step 2: Convert to fraction form
    442.24/662.28 = 280.24/x
  3. Step 3: Cross multiply
    442.24x = 662.28 × 280.24
  4. Step 4: Simplify right side
    442.24x = 185,597.35
  5. Step 5: Solve for x
    x = 185,597.35/442.24
  6. Step 6: Final answer
    x = 419.68

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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.