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Finding the Fourth Proportional to 492.62, 680.15 and 343.20

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Solution

The fourth proportional to 492.62, 680.15 and 343.20 is: 473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.62 : 680.15 = 343.20 : x
  2. Step 2: Convert to fraction form
    492.62/680.15 = 343.20/x
  3. Step 3: Cross multiply
    492.62x = 680.15 × 343.20
  4. Step 4: Simplify right side
    492.62x = 233,428.96
  5. Step 5: Solve for x
    x = 233,428.96/492.62
  6. Step 6: Final answer
    x = 473.85

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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.