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Finding the Fourth Proportional to 229.05, 316.09 and 135.85

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Solution

The fourth proportional to 229.05, 316.09 and 135.85 is: 187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.05 : 316.09 = 135.85 : x
  2. Step 2: Convert to fraction form
    229.05/316.09 = 135.85/x
  3. Step 3: Cross multiply
    229.05x = 316.09 × 135.85
  4. Step 4: Simplify right side
    229.05x = 42,939.59
  5. Step 5: Solve for x
    x = 42,939.59/229.05
  6. Step 6: Final answer
    x = 187.47

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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.