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Finding the Fourth Proportional to 441.82, 662.50 and 153.19

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Solution

The fourth proportional to 441.82, 662.50 and 153.19 is: 229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.82 : 662.50 = 153.19 : x
  2. Step 2: Convert to fraction form
    441.82/662.50 = 153.19/x
  3. Step 3: Cross multiply
    441.82x = 662.50 × 153.19
  4. Step 4: Simplify right side
    441.82x = 101,488.38
  5. Step 5: Solve for x
    x = 101,488.38/441.82
  6. Step 6: Final answer
    x = 229.71

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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.