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Finding the Fourth Proportional to 246.87, 341.17 and 202.54

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Solution

The fourth proportional to 246.87, 341.17 and 202.54 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.87 : 341.17 = 202.54 : x
  2. Step 2: Convert to fraction form
    246.87/341.17 = 202.54/x
  3. Step 3: Cross multiply
    246.87x = 341.17 × 202.54
  4. Step 4: Simplify right side
    246.87x = 69,101.93
  5. Step 5: Solve for x
    x = 69,101.93/246.87
  6. Step 6: Final answer
    x = 279.91

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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.