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Finding the Fourth Proportional to 341.27, 470.17 and 288.73

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Solution

The fourth proportional to 341.27, 470.17 and 288.73 is: 397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.27 : 470.17 = 288.73 : x
  2. Step 2: Convert to fraction form
    341.27/470.17 = 288.73/x
  3. Step 3: Cross multiply
    341.27x = 470.17 × 288.73
  4. Step 4: Simplify right side
    341.27x = 135,752.18
  5. Step 5: Solve for x
    x = 135,752.18/341.27
  6. Step 6: Final answer
    x = 397.79

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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.