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Finding the Fourth Proportional to 362.32, 500.20 and 273.70

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Solution

The fourth proportional to 362.32, 500.20 and 273.70 is: 377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 500.20 = 273.70 : x
  2. Step 2: Convert to fraction form
    362.32/500.20 = 273.70/x
  3. Step 3: Cross multiply
    362.32x = 500.20 × 273.70
  4. Step 4: Simplify right side
    362.32x = 136,904.74
  5. Step 5: Solve for x
    x = 136,904.74/362.32
  6. Step 6: Final answer
    x = 377.86

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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.