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Finding the Fourth Proportional to 341.96, 471.92 and 202.04

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Solution

The fourth proportional to 341.96, 471.92 and 202.04 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.96 : 471.92 = 202.04 : x
  2. Step 2: Convert to fraction form
    341.96/471.92 = 202.04/x
  3. Step 3: Cross multiply
    341.96x = 471.92 × 202.04
  4. Step 4: Simplify right side
    341.96x = 95,346.72
  5. Step 5: Solve for x
    x = 95,346.72/341.96
  6. Step 6: Final answer
    x = 278.82

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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.