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Finding the Fourth Proportional to 222.09, 332.75 and 144.97

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Solution

The fourth proportional to 222.09, 332.75 and 144.97 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.09 : 332.75 = 144.97 : x
  2. Step 2: Convert to fraction form
    222.09/332.75 = 144.97/x
  3. Step 3: Cross multiply
    222.09x = 332.75 × 144.97
  4. Step 4: Simplify right side
    222.09x = 48,238.77
  5. Step 5: Solve for x
    x = 48,238.77/222.09
  6. Step 6: Final answer
    x = 217.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.