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Finding the Fourth Proportional to 462.73, 694.16 and 154.51

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Solution

The fourth proportional to 462.73, 694.16 and 154.51 is: 231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.73 : 694.16 = 154.51 : x
  2. Step 2: Convert to fraction form
    462.73/694.16 = 154.51/x
  3. Step 3: Cross multiply
    462.73x = 694.16 × 154.51
  4. Step 4: Simplify right side
    462.73x = 107,253.31
  5. Step 5: Solve for x
    x = 107,253.31/462.73
  6. Step 6: Final answer
    x = 231.79

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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.