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Finding the Fourth Proportional to 229.56, 316.82 and 136.34

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Solution

The fourth proportional to 229.56, 316.82 and 136.34 is: 188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 316.82 = 136.34 : x
  2. Step 2: Convert to fraction form
    229.56/316.82 = 136.34/x
  3. Step 3: Cross multiply
    229.56x = 316.82 × 136.34
  4. Step 4: Simplify right side
    229.56x = 43,192.97
  5. Step 5: Solve for x
    x = 43,192.97/229.56
  6. Step 6: Final answer
    x = 188.16

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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.