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Finding the Fourth Proportional to 223.74, 308.43 and 136.35

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Solution

The fourth proportional to 223.74, 308.43 and 136.35 is: 187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.74 : 308.43 = 136.35 : x
  2. Step 2: Convert to fraction form
    223.74/308.43 = 136.35/x
  3. Step 3: Cross multiply
    223.74x = 308.43 × 136.35
  4. Step 4: Simplify right side
    223.74x = 42,054.43
  5. Step 5: Solve for x
    x = 42,054.43/223.74
  6. Step 6: Final answer
    x = 187.96

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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.