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Finding the Fourth Proportional to 138.04, 191.45 and 136.42

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Solution

The fourth proportional to 138.04, 191.45 and 136.42 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.04 : 191.45 = 136.42 : x
  2. Step 2: Convert to fraction form
    138.04/191.45 = 136.42/x
  3. Step 3: Cross multiply
    138.04x = 191.45 × 136.42
  4. Step 4: Simplify right side
    138.04x = 26,117.61
  5. Step 5: Solve for x
    x = 26,117.61/138.04
  6. Step 6: Final answer
    x = 189.20

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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.