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Finding the Fourth Proportional to 138.30, 206.26 and 125.34

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Solution

The fourth proportional to 138.30, 206.26 and 125.34 is: 186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.30 : 206.26 = 125.34 : x
  2. Step 2: Convert to fraction form
    138.30/206.26 = 125.34/x
  3. Step 3: Cross multiply
    138.30x = 206.26 × 125.34
  4. Step 4: Simplify right side
    138.30x = 25,852.63
  5. Step 5: Solve for x
    x = 25,852.63/138.30
  6. Step 6: Final answer
    x = 186.93

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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.