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Finding the Fourth Proportional to 280.99, 423.92 and 268.30

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Solution

The fourth proportional to 280.99, 423.92 and 268.30 is: 404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.99 : 423.92 = 268.30 : x
  2. Step 2: Convert to fraction form
    280.99/423.92 = 268.30/x
  3. Step 3: Cross multiply
    280.99x = 423.92 × 268.30
  4. Step 4: Simplify right side
    280.99x = 113,737.74
  5. Step 5: Solve for x
    x = 113,737.74/280.99
  6. Step 6: Final answer
    x = 404.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.