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Finding the Fourth Proportional to 492.43, 679.38 and 343.12

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Solution

The fourth proportional to 492.43, 679.38 and 343.12 is: 473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.43 : 679.38 = 343.12 : x
  2. Step 2: Convert to fraction form
    492.43/679.38 = 343.12/x
  3. Step 3: Cross multiply
    492.43x = 679.38 × 343.12
  4. Step 4: Simplify right side
    492.43x = 233,108.87
  5. Step 5: Solve for x
    x = 233,108.87/492.43
  6. Step 6: Final answer
    x = 473.38

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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.