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Finding the Fourth Proportional to 138.23, 205.95 and 136.25

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Solution

The fourth proportional to 138.23, 205.95 and 136.25 is: 203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.23 : 205.95 = 136.25 : x
  2. Step 2: Convert to fraction form
    138.23/205.95 = 136.25/x
  3. Step 3: Cross multiply
    138.23x = 205.95 × 136.25
  4. Step 4: Simplify right side
    138.23x = 28,059.15
  5. Step 5: Solve for x
    x = 28,059.15/138.23
  6. Step 6: Final answer
    x = 203.00

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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.