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Finding the Fourth Proportional to 232.05, 320.11 and 138.75

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Solution

The fourth proportional to 232.05, 320.11 and 138.75 is: 191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.05 : 320.11 = 138.75 : x
  2. Step 2: Convert to fraction form
    232.05/320.11 = 138.75/x
  3. Step 3: Cross multiply
    232.05x = 320.11 × 138.75
  4. Step 4: Simplify right side
    232.05x = 44,415.26
  5. Step 5: Solve for x
    x = 44,415.26/232.05
  6. Step 6: Final answer
    x = 191.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.