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Finding the Fourth Proportional to 280.77, 422.11 and 220.62

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Solution

The fourth proportional to 280.77, 422.11 and 220.62 is: 331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.77 : 422.11 = 220.62 : x
  2. Step 2: Convert to fraction form
    280.77/422.11 = 220.62/x
  3. Step 3: Cross multiply
    280.77x = 422.11 × 220.62
  4. Step 4: Simplify right side
    280.77x = 93,127.77
  5. Step 5: Solve for x
    x = 93,127.77/280.77
  6. Step 6: Final answer
    x = 331.69

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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.