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Finding the Fourth Proportional to 362.88, 500.24 and 319.12

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Solution

The fourth proportional to 362.88, 500.24 and 319.12 is: 439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.88 : 500.24 = 319.12 : x
  2. Step 2: Convert to fraction form
    362.88/500.24 = 319.12/x
  3. Step 3: Cross multiply
    362.88x = 500.24 × 319.12
  4. Step 4: Simplify right side
    362.88x = 159,636.59
  5. Step 5: Solve for x
    x = 159,636.59/362.88
  6. Step 6: Final answer
    x = 439.92

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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.