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Finding the Fourth Proportional to 379.59, 523.17 and 360.69

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Solution

The fourth proportional to 379.59, 523.17 and 360.69 is: 497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.59 : 523.17 = 360.69 : x
  2. Step 2: Convert to fraction form
    379.59/523.17 = 360.69/x
  3. Step 3: Cross multiply
    379.59x = 523.17 × 360.69
  4. Step 4: Simplify right side
    379.59x = 188,702.19
  5. Step 5: Solve for x
    x = 188,702.19/379.59
  6. Step 6: Final answer
    x = 497.12

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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.