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Finding the Fourth Proportional to 154.72, 231.54 and 131.62

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Solution

The fourth proportional to 154.72, 231.54 and 131.62 is: 196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.72 : 231.54 = 131.62 : x
  2. Step 2: Convert to fraction form
    154.72/231.54 = 131.62/x
  3. Step 3: Cross multiply
    154.72x = 231.54 × 131.62
  4. Step 4: Simplify right side
    154.72x = 30,475.29
  5. Step 5: Solve for x
    x = 30,475.29/154.72
  6. Step 6: Final answer
    x = 196.97

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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.