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Finding the Fourth Proportional to 154.71, 231.66 and 106.11

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Solution

The fourth proportional to 154.71, 231.66 and 106.11 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.71 : 231.66 = 106.11 : x
  2. Step 2: Convert to fraction form
    154.71/231.66 = 106.11/x
  3. Step 3: Cross multiply
    154.71x = 231.66 × 106.11
  4. Step 4: Simplify right side
    154.71x = 24,581.44
  5. Step 5: Solve for x
    x = 24,581.44/154.71
  6. Step 6: Final answer
    x = 158.89

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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.