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Finding the Fourth Proportional to 441.51, 662.50 and 197.99

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Solution

The fourth proportional to 441.51, 662.50 and 197.99 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.51 : 662.50 = 197.99 : x
  2. Step 2: Convert to fraction form
    441.51/662.50 = 197.99/x
  3. Step 3: Cross multiply
    441.51x = 662.50 × 197.99
  4. Step 4: Simplify right side
    441.51x = 131,166.68
  5. Step 5: Solve for x
    x = 131,166.68/441.51
  6. Step 6: Final answer
    x = 297.09

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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.