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Finding the Fourth Proportional to 362.64, 500.32 and 231.73

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Solution

The fourth proportional to 362.64, 500.32 and 231.73 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.64 : 500.32 = 231.73 : x
  2. Step 2: Convert to fraction form
    362.64/500.32 = 231.73/x
  3. Step 3: Cross multiply
    362.64x = 500.32 × 231.73
  4. Step 4: Simplify right side
    362.64x = 115,938.19
  5. Step 5: Solve for x
    x = 115,938.19/362.64
  6. Step 6: Final answer
    x = 319.70

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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.