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Finding the Fourth Proportional to 138.12, 192.13 and 135.48

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Solution

The fourth proportional to 138.12, 192.13 and 135.48 is: 188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.12 : 192.13 = 135.48 : x
  2. Step 2: Convert to fraction form
    138.12/192.13 = 135.48/x
  3. Step 3: Cross multiply
    138.12x = 192.13 × 135.48
  4. Step 4: Simplify right side
    138.12x = 26,029.77
  5. Step 5: Solve for x
    x = 26,029.77/138.12
  6. Step 6: Final answer
    x = 188.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.