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Finding the Fourth Proportional to 138.58, 207.71 and 104.23

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Solution

The fourth proportional to 138.58, 207.71 and 104.23 is: 156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.58 : 207.71 = 104.23 : x
  2. Step 2: Convert to fraction form
    138.58/207.71 = 104.23/x
  3. Step 3: Cross multiply
    138.58x = 207.71 × 104.23
  4. Step 4: Simplify right side
    138.58x = 21,649.74
  5. Step 5: Solve for x
    x = 21,649.74/138.58
  6. Step 6: Final answer
    x = 156.23

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