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Finding the Fourth Proportional to 402.65, 606.03 and 343.18

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Solution

The fourth proportional to 402.65, 606.03 and 343.18 is: 516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.65 : 606.03 = 343.18 : x
  2. Step 2: Convert to fraction form
    402.65/606.03 = 343.18/x
  3. Step 3: Cross multiply
    402.65x = 606.03 × 343.18
  4. Step 4: Simplify right side
    402.65x = 207,976.85
  5. Step 5: Solve for x
    x = 207,976.85/402.65
  6. Step 6: Final answer
    x = 516.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.