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Finding the Fourth Proportional to 341.62, 471.31 and 217.24

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Solution

The fourth proportional to 341.62, 471.31 and 217.24 is: 299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.62 : 471.31 = 217.24 : x
  2. Step 2: Convert to fraction form
    341.62/471.31 = 217.24/x
  3. Step 3: Cross multiply
    341.62x = 471.31 × 217.24
  4. Step 4: Simplify right side
    341.62x = 102,387.38
  5. Step 5: Solve for x
    x = 102,387.38/341.62
  6. Step 6: Final answer
    x = 299.71

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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.