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Finding the Fourth Proportional to 220.58, 304.12 and 161.65

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Solution

The fourth proportional to 220.58, 304.12 and 161.65 is: 222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.58 : 304.12 = 161.65 : x
  2. Step 2: Convert to fraction form
    220.58/304.12 = 161.65/x
  3. Step 3: Cross multiply
    220.58x = 304.12 × 161.65
  4. Step 4: Simplify right side
    220.58x = 49,161.58
  5. Step 5: Solve for x
    x = 49,161.58/220.58
  6. Step 6: Final answer
    x = 222.88

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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.