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Finding the Fourth Proportional to 220.87, 330.51 and 162.96

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Solution

The fourth proportional to 220.87, 330.51 and 162.96 is: 243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.87 : 330.51 = 162.96 : x
  2. Step 2: Convert to fraction form
    220.87/330.51 = 162.96/x
  3. Step 3: Cross multiply
    220.87x = 330.51 × 162.96
  4. Step 4: Simplify right side
    220.87x = 53,859.91
  5. Step 5: Solve for x
    x = 53,859.91/220.87
  6. Step 6: Final answer
    x = 243.85

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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.