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Finding the Fourth Proportional to 362.15, 499.39 and 268.96

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Solution

The fourth proportional to 362.15, 499.39 and 268.96 is: 370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.15 : 499.39 = 268.96 : x
  2. Step 2: Convert to fraction form
    362.15/499.39 = 268.96/x
  3. Step 3: Cross multiply
    362.15x = 499.39 × 268.96
  4. Step 4: Simplify right side
    362.15x = 134,315.93
  5. Step 5: Solve for x
    x = 134,315.93/362.15
  6. Step 6: Final answer
    x = 370.88

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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.