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Finding the Fourth Proportional to 138.53, 190.74 and 135.49

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Solution

The fourth proportional to 138.53, 190.74 and 135.49 is: 186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.53 : 190.74 = 135.49 : x
  2. Step 2: Convert to fraction form
    138.53/190.74 = 135.49/x
  3. Step 3: Cross multiply
    138.53x = 190.74 × 135.49
  4. Step 4: Simplify right side
    138.53x = 25,842.89
  5. Step 5: Solve for x
    x = 25,842.89/138.53
  6. Step 6: Final answer
    x = 186.56

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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.