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Finding the Fourth Proportional to 159.05, 219.42 and 106.65

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Solution

The fourth proportional to 159.05, 219.42 and 106.65 is: 147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.05 : 219.42 = 106.65 : x
  2. Step 2: Convert to fraction form
    159.05/219.42 = 106.65/x
  3. Step 3: Cross multiply
    159.05x = 219.42 × 106.65
  4. Step 4: Simplify right side
    159.05x = 23,401.14
  5. Step 5: Solve for x
    x = 23,401.14/159.05
  6. Step 6: Final answer
    x = 147.13

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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.