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Finding the Fourth Proportional to 379.41, 523.58 and 232.02

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Solution

The fourth proportional to 379.41, 523.58 and 232.02 is: 320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.41 : 523.58 = 232.02 : x
  2. Step 2: Convert to fraction form
    379.41/523.58 = 232.02/x
  3. Step 3: Cross multiply
    379.41x = 523.58 × 232.02
  4. Step 4: Simplify right side
    379.41x = 121,479.87
  5. Step 5: Solve for x
    x = 121,479.87/379.41
  6. Step 6: Final answer
    x = 320.18

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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.