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Finding the Fourth Proportional to 379.18, 523.15 and 231.66

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Solution

The fourth proportional to 379.18, 523.15 and 231.66 is: 319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.18 : 523.15 = 231.66 : x
  2. Step 2: Convert to fraction form
    379.18/523.15 = 231.66/x
  3. Step 3: Cross multiply
    379.18x = 523.15 × 231.66
  4. Step 4: Simplify right side
    379.18x = 121,192.93
  5. Step 5: Solve for x
    x = 121,192.93/379.18
  6. Step 6: Final answer
    x = 319.62

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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.