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Finding the Fourth Proportional to 231.96, 320.07 and 201.12

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Solution

The fourth proportional to 231.96, 320.07 and 201.12 is: 277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.96 : 320.07 = 201.12 : x
  2. Step 2: Convert to fraction form
    231.96/320.07 = 201.12/x
  3. Step 3: Cross multiply
    231.96x = 320.07 × 201.12
  4. Step 4: Simplify right side
    231.96x = 64,370.90
  5. Step 5: Solve for x
    x = 64,370.90/231.96
  6. Step 6: Final answer
    x = 277.50

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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.