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Finding the Fourth Proportional to 342.91, 517.48 and 325.27

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Solution

The fourth proportional to 342.91, 517.48 and 325.27 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.91 : 517.48 = 325.27 : x
  2. Step 2: Convert to fraction form
    342.91/517.48 = 325.27/x
  3. Step 3: Cross multiply
    342.91x = 517.48 × 325.27
  4. Step 4: Simplify right side
    342.91x = 168,320.72
  5. Step 5: Solve for x
    x = 168,320.72/342.91
  6. Step 6: Final answer
    x = 490.86

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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.