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Finding the Fourth Proportional to 159.45, 219.62 and 138.74

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Solution

The fourth proportional to 159.45, 219.62 and 138.74 is: 191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.45 : 219.62 = 138.74 : x
  2. Step 2: Convert to fraction form
    159.45/219.62 = 138.74/x
  3. Step 3: Cross multiply
    159.45x = 219.62 × 138.74
  4. Step 4: Simplify right side
    159.45x = 30,468.29
  5. Step 5: Solve for x
    x = 30,468.29/159.45
  6. Step 6: Final answer
    x = 191.08

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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.