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Finding the Fourth Proportional to 138.42, 207.02 and 105.54

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Solution

The fourth proportional to 138.42, 207.02 and 105.54 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.42 : 207.02 = 105.54 : x
  2. Step 2: Convert to fraction form
    138.42/207.02 = 105.54/x
  3. Step 3: Cross multiply
    138.42x = 207.02 × 105.54
  4. Step 4: Simplify right side
    138.42x = 21,848.89
  5. Step 5: Solve for x
    x = 21,848.89/138.42
  6. Step 6: Final answer
    x = 157.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.