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Finding the Fourth Proportional to 391.10, 589.34 and 324.13

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Solution

The fourth proportional to 391.10, 589.34 and 324.13 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.10 : 589.34 = 324.13 : x
  2. Step 2: Convert to fraction form
    391.10/589.34 = 324.13/x
  3. Step 3: Cross multiply
    391.10x = 589.34 × 324.13
  4. Step 4: Simplify right side
    391.10x = 191,022.77
  5. Step 5: Solve for x
    x = 191,022.77/391.10
  6. Step 6: Final answer
    x = 488.42

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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.