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Finding the Fourth Proportional to 232.22, 320.41 and 137.70

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Solution

The fourth proportional to 232.22, 320.41 and 137.70 is: 189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.22 : 320.41 = 137.70 : x
  2. Step 2: Convert to fraction form
    232.22/320.41 = 137.70/x
  3. Step 3: Cross multiply
    232.22x = 320.41 × 137.70
  4. Step 4: Simplify right side
    232.22x = 44,120.11
  5. Step 5: Solve for x
    x = 44,120.11/232.22
  6. Step 6: Final answer
    x = 189.99

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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.