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Finding the Fourth Proportional to 232.09, 320.36 and 138.86

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Solution

The fourth proportional to 232.09, 320.36 and 138.86 is: 191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.09 : 320.36 = 138.86 : x
  2. Step 2: Convert to fraction form
    232.09/320.36 = 138.86/x
  3. Step 3: Cross multiply
    232.09x = 320.36 × 138.86
  4. Step 4: Simplify right side
    232.09x = 44,485.19
  5. Step 5: Solve for x
    x = 44,485.19/232.09
  6. Step 6: Final answer
    x = 191.68

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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.