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Finding the Fourth Proportional to 159.44, 238.31 and 138.71

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Solution

The fourth proportional to 159.44, 238.31 and 138.71 is: 207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.44 : 238.31 = 138.71 : x
  2. Step 2: Convert to fraction form
    159.44/238.31 = 138.71/x
  3. Step 3: Cross multiply
    159.44x = 238.31 × 138.71
  4. Step 4: Simplify right side
    159.44x = 33,054.10
  5. Step 5: Solve for x
    x = 33,054.10/159.44
  6. Step 6: Final answer
    x = 207.32

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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.