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Finding the Fourth Proportional to 341.92, 471.78 and 209.20

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Solution

The fourth proportional to 341.92, 471.78 and 209.20 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.92 : 471.78 = 209.20 : x
  2. Step 2: Convert to fraction form
    341.92/471.78 = 209.20/x
  3. Step 3: Cross multiply
    341.92x = 471.78 × 209.20
  4. Step 4: Simplify right side
    341.92x = 98,696.38
  5. Step 5: Solve for x
    x = 98,696.38/341.92
  6. Step 6: Final answer
    x = 288.65

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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.