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Finding the Fourth Proportional to 342.24, 516.30 and 325.14

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Solution

The fourth proportional to 342.24, 516.30 and 325.14 is: 490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 516.30 = 325.14 : x
  2. Step 2: Convert to fraction form
    342.24/516.30 = 325.14/x
  3. Step 3: Cross multiply
    342.24x = 516.30 × 325.14
  4. Step 4: Simplify right side
    342.24x = 167,869.78
  5. Step 5: Solve for x
    x = 167,869.78/342.24
  6. Step 6: Final answer
    x = 490.50

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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.