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Finding the Fourth Proportional to 342, 471.96 and 202.14

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Solution

The fourth proportional to 342, 471.96 and 202.14 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 471.96 = 202.14 : x
  2. Step 2: Convert to fraction form
    342/471.96 = 202.14/x
  3. Step 3: Cross multiply
    342x = 471.96 × 202.14
  4. Step 4: Simplify right side
    342x = 95,401.99
  5. Step 5: Solve for x
    x = 95,401.99/342
  6. Step 6: Final answer
    x = 278.95

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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.