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Finding the Fourth Proportional to 229.07, 315.97 and 135.78

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Solution

The fourth proportional to 229.07, 315.97 and 135.78 is: 187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.07 : 315.97 = 135.78 : x
  2. Step 2: Convert to fraction form
    229.07/315.97 = 135.78/x
  3. Step 3: Cross multiply
    229.07x = 315.97 × 135.78
  4. Step 4: Simplify right side
    229.07x = 42,902.41
  5. Step 5: Solve for x
    x = 42,902.41/229.07
  6. Step 6: Final answer
    x = 187.29

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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.