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Finding the Fourth Proportional to 223.23, 308.05 and 135.89

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Solution

The fourth proportional to 223.23, 308.05 and 135.89 is: 187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 308.05 = 135.89 : x
  2. Step 2: Convert to fraction form
    223.23/308.05 = 135.89/x
  3. Step 3: Cross multiply
    223.23x = 308.05 × 135.89
  4. Step 4: Simplify right side
    223.23x = 41,859.03
  5. Step 5: Solve for x
    x = 41,859.03/223.23
  6. Step 6: Final answer
    x = 187.52

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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.