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Finding the Fourth Proportional to 363.15, 500.69 and 238.59

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Solution

The fourth proportional to 363.15, 500.69 and 238.59 is: 328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.15 : 500.69 = 238.59 : x
  2. Step 2: Convert to fraction form
    363.15/500.69 = 238.59/x
  3. Step 3: Cross multiply
    363.15x = 500.69 × 238.59
  4. Step 4: Simplify right side
    363.15x = 119,460.22
  5. Step 5: Solve for x
    x = 119,460.22/363.15
  6. Step 6: Final answer
    x = 328.96

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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.