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Finding the Fourth Proportional to 379.34, 523.49 and 232.05

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Solution

The fourth proportional to 379.34, 523.49 and 232.05 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.34 : 523.49 = 232.05 : x
  2. Step 2: Convert to fraction form
    379.34/523.49 = 232.05/x
  3. Step 3: Cross multiply
    379.34x = 523.49 × 232.05
  4. Step 4: Simplify right side
    379.34x = 121,477.74
  5. Step 5: Solve for x
    x = 121,477.74/379.34
  6. Step 6: Final answer
    x = 320.24

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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.