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Finding the Fourth Proportional to 159.08, 219.38 and 137.22

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Solution

The fourth proportional to 159.08, 219.38 and 137.22 is: 189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.08 : 219.38 = 137.22 : x
  2. Step 2: Convert to fraction form
    159.08/219.38 = 137.22/x
  3. Step 3: Cross multiply
    159.08x = 219.38 × 137.22
  4. Step 4: Simplify right side
    159.08x = 30,103.32
  5. Step 5: Solve for x
    x = 30,103.32/159.08
  6. Step 6: Final answer
    x = 189.23

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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.