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Finding the Fourth Proportional to 371.91, 513.29 and 232.05

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Solution

The fourth proportional to 371.91, 513.29 and 232.05 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.91 : 513.29 = 232.05 : x
  2. Step 2: Convert to fraction form
    371.91/513.29 = 232.05/x
  3. Step 3: Cross multiply
    371.91x = 513.29 × 232.05
  4. Step 4: Simplify right side
    371.91x = 119,109.52
  5. Step 5: Solve for x
    x = 119,109.52/371.91
  6. Step 6: Final answer
    x = 320.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.