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Finding the Fourth Proportional to 319.38, 440.50 and 202.74

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Solution

The fourth proportional to 319.38, 440.50 and 202.74 is: 279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.38 : 440.50 = 202.74 : x
  2. Step 2: Convert to fraction form
    319.38/440.50 = 202.74/x
  3. Step 3: Cross multiply
    319.38x = 440.50 × 202.74
  4. Step 4: Simplify right side
    319.38x = 89,306.97
  5. Step 5: Solve for x
    x = 89,306.97/319.38
  6. Step 6: Final answer
    x = 279.63

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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.