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Finding the Fourth Proportional to 220.72, 304.59 and 136.73

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Solution

The fourth proportional to 220.72, 304.59 and 136.73 is: 188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.72 : 304.59 = 136.73 : x
  2. Step 2: Convert to fraction form
    220.72/304.59 = 136.73/x
  3. Step 3: Cross multiply
    220.72x = 304.59 × 136.73
  4. Step 4: Simplify right side
    220.72x = 41,646.59
  5. Step 5: Solve for x
    x = 41,646.59/220.72
  6. Step 6: Final answer
    x = 188.69

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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.