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Finding the Fourth Proportional to 462.88, 694.30 and 154.89

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Solution

The fourth proportional to 462.88, 694.30 and 154.89 is: 232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.88 : 694.30 = 154.89 : x
  2. Step 2: Convert to fraction form
    462.88/694.30 = 154.89/x
  3. Step 3: Cross multiply
    462.88x = 694.30 × 154.89
  4. Step 4: Simplify right side
    462.88x = 107,540.13
  5. Step 5: Solve for x
    x = 107,540.13/462.88
  6. Step 6: Final answer
    x = 232.33

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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.