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Finding the Fourth Proportional to 229.26, 316.33 and 135.96

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Solution

The fourth proportional to 229.26, 316.33 and 135.96 is: 187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.26 : 316.33 = 135.96 : x
  2. Step 2: Convert to fraction form
    229.26/316.33 = 135.96/x
  3. Step 3: Cross multiply
    229.26x = 316.33 × 135.96
  4. Step 4: Simplify right side
    229.26x = 43,008.40
  5. Step 5: Solve for x
    x = 43,008.40/229.26
  6. Step 6: Final answer
    x = 187.60

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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.