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Finding the Fourth Proportional to 159.14, 237.86 and 138.41

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Solution

The fourth proportional to 159.14, 237.86 and 138.41 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.14 : 237.86 = 138.41 : x
  2. Step 2: Convert to fraction form
    159.14/237.86 = 138.41/x
  3. Step 3: Cross multiply
    159.14x = 237.86 × 138.41
  4. Step 4: Simplify right side
    159.14x = 32,921.01
  5. Step 5: Solve for x
    x = 32,921.01/159.14
  6. Step 6: Final answer
    x = 206.87

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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.