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Finding the Fourth Proportional to 362.28, 500.26 and 318.76

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Solution

The fourth proportional to 362.28, 500.26 and 318.76 is: 440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 500.26 = 318.76 : x
  2. Step 2: Convert to fraction form
    362.28/500.26 = 318.76/x
  3. Step 3: Cross multiply
    362.28x = 500.26 × 318.76
  4. Step 4: Simplify right side
    362.28x = 159,462.88
  5. Step 5: Solve for x
    x = 159,462.88/362.28
  6. Step 6: Final answer
    x = 440.16

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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.