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Finding the Fourth Proportional to 342.43, 516.04 and 325.96

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Solution

The fourth proportional to 342.43, 516.04 and 325.96 is: 491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.43 : 516.04 = 325.96 : x
  2. Step 2: Convert to fraction form
    342.43/516.04 = 325.96/x
  3. Step 3: Cross multiply
    342.43x = 516.04 × 325.96
  4. Step 4: Simplify right side
    342.43x = 168,208.40
  5. Step 5: Solve for x
    x = 168,208.40/342.43
  6. Step 6: Final answer
    x = 491.22

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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.