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Finding the Fourth Proportional to 333.46, 460.11 and 280.90

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Solution

The fourth proportional to 333.46, 460.11 and 280.90 is: 387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.46 : 460.11 = 280.90 : x
  2. Step 2: Convert to fraction form
    333.46/460.11 = 280.90/x
  3. Step 3: Cross multiply
    333.46x = 460.11 × 280.90
  4. Step 4: Simplify right side
    333.46x = 129,244.90
  5. Step 5: Solve for x
    x = 129,244.90/333.46
  6. Step 6: Final answer
    x = 387.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.