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Finding the Fourth Proportional to 231.97, 320.13 and 144.67

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Solution

The fourth proportional to 231.97, 320.13 and 144.67 is: 199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.97 : 320.13 = 144.67 : x
  2. Step 2: Convert to fraction form
    231.97/320.13 = 144.67/x
  3. Step 3: Cross multiply
    231.97x = 320.13 × 144.67
  4. Step 4: Simplify right side
    231.97x = 46,313.21
  5. Step 5: Solve for x
    x = 46,313.21/231.97
  6. Step 6: Final answer
    x = 199.65

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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.