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Finding the Fourth Proportional to 154.75, 232.11 and 46.51

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Solution

The fourth proportional to 154.75, 232.11 and 46.51 is: 69.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.75 : 232.11 = 46.51 : x
  2. Step 2: Convert to fraction form
    154.75/232.11 = 46.51/x
  3. Step 3: Cross multiply
    154.75x = 232.11 × 46.51
  4. Step 4: Simplify right side
    154.75x = 10,795.44
  5. Step 5: Solve for x
    x = 10,795.44/154.75
  6. Step 6: Final answer
    x = 69.76

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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.