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Finding the Fourth Proportional to 154.90, 231.81 and 106.16

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Solution

The fourth proportional to 154.90, 231.81 and 106.16 is: 158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.90 : 231.81 = 106.16 : x
  2. Step 2: Convert to fraction form
    154.90/231.81 = 106.16/x
  3. Step 3: Cross multiply
    154.90x = 231.81 × 106.16
  4. Step 4: Simplify right side
    154.90x = 24,608.95
  5. Step 5: Solve for x
    x = 24,608.95/154.90
  6. Step 6: Final answer
    x = 158.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.