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Finding the Fourth Proportional to 319.59, 440.37 and 232.11

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Solution

The fourth proportional to 319.59, 440.37 and 232.11 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.59 : 440.37 = 232.11 : x
  2. Step 2: Convert to fraction form
    319.59/440.37 = 232.11/x
  3. Step 3: Cross multiply
    319.59x = 440.37 × 232.11
  4. Step 4: Simplify right side
    319.59x = 102,214.28
  5. Step 5: Solve for x
    x = 102,214.28/319.59
  6. Step 6: Final answer
    x = 319.83

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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.