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Finding the Fourth Proportional to 138.01, 190.34 and 100.66

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Solution

The fourth proportional to 138.01, 190.34 and 100.66 is: 138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.01 : 190.34 = 100.66 : x
  2. Step 2: Convert to fraction form
    138.01/190.34 = 100.66/x
  3. Step 3: Cross multiply
    138.01x = 190.34 × 100.66
  4. Step 4: Simplify right side
    138.01x = 19,159.60
  5. Step 5: Solve for x
    x = 19,159.60/138.01
  6. Step 6: Final answer
    x = 138.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.