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Finding the Fourth Proportional to 334.73, 462.71 and 256.97

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Solution

The fourth proportional to 334.73, 462.71 and 256.97 is: 355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.73 : 462.71 = 256.97 : x
  2. Step 2: Convert to fraction form
    334.73/462.71 = 256.97/x
  3. Step 3: Cross multiply
    334.73x = 462.71 × 256.97
  4. Step 4: Simplify right side
    334.73x = 118,901.30
  5. Step 5: Solve for x
    x = 118,901.30/334.73
  6. Step 6: Final answer
    x = 355.22

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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.