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Finding the Fourth Proportional to 362.45, 500.16 and 231.53

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Solution

The fourth proportional to 362.45, 500.16 and 231.53 is: 319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.45 : 500.16 = 231.53 : x
  2. Step 2: Convert to fraction form
    362.45/500.16 = 231.53/x
  3. Step 3: Cross multiply
    362.45x = 500.16 × 231.53
  4. Step 4: Simplify right side
    362.45x = 115,799.54
  5. Step 5: Solve for x
    x = 115,799.54/362.45
  6. Step 6: Final answer
    x = 319.50

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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.