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Finding the Fourth Proportional to 223.69, 308.85 and 136.48

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Solution

The fourth proportional to 223.69, 308.85 and 136.48 is: 188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.69 : 308.85 = 136.48 : x
  2. Step 2: Convert to fraction form
    223.69/308.85 = 136.48/x
  3. Step 3: Cross multiply
    223.69x = 308.85 × 136.48
  4. Step 4: Simplify right side
    223.69x = 42,151.85
  5. Step 5: Solve for x
    x = 42,151.85/223.69
  6. Step 6: Final answer
    x = 188.44

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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.