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Finding the Fourth Proportional to 300.97, 450.85 and 154.72

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Solution

The fourth proportional to 300.97, 450.85 and 154.72 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.97 : 450.85 = 154.72 : x
  2. Step 2: Convert to fraction form
    300.97/450.85 = 154.72/x
  3. Step 3: Cross multiply
    300.97x = 450.85 × 154.72
  4. Step 4: Simplify right side
    300.97x = 69,755.51
  5. Step 5: Solve for x
    x = 69,755.51/300.97
  6. Step 6: Final answer
    x = 231.77

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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.