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Finding the Fourth Proportional to 333.76, 460.31 and 280.38

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Solution

The fourth proportional to 333.76, 460.31 and 280.38 is: 386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.76 : 460.31 = 280.38 : x
  2. Step 2: Convert to fraction form
    333.76/460.31 = 280.38/x
  3. Step 3: Cross multiply
    333.76x = 460.31 × 280.38
  4. Step 4: Simplify right side
    333.76x = 129,061.72
  5. Step 5: Solve for x
    x = 129,061.72/333.76
  6. Step 6: Final answer
    x = 386.69

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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.