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Finding the Fourth Proportional to 138.06, 205.65 and 123.48

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Solution

The fourth proportional to 138.06, 205.65 and 123.48 is: 183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.06 : 205.65 = 123.48 : x
  2. Step 2: Convert to fraction form
    138.06/205.65 = 123.48/x
  3. Step 3: Cross multiply
    138.06x = 205.65 × 123.48
  4. Step 4: Simplify right side
    138.06x = 25,393.66
  5. Step 5: Solve for x
    x = 25,393.66/138.06
  6. Step 6: Final answer
    x = 183.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.