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Finding the Fourth Proportional to 339.71, 467.82 and 280.95

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Solution

The fourth proportional to 339.71, 467.82 and 280.95 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.71 : 467.82 = 280.95 : x
  2. Step 2: Convert to fraction form
    339.71/467.82 = 280.95/x
  3. Step 3: Cross multiply
    339.71x = 467.82 × 280.95
  4. Step 4: Simplify right side
    339.71x = 131,434.03
  5. Step 5: Solve for x
    x = 131,434.03/339.71
  6. Step 6: Final answer
    x = 386.91

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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.