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Finding the Fourth Proportional to 441.44, 663.46 and 259.18

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Solution

The fourth proportional to 441.44, 663.46 and 259.18 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.44 : 663.46 = 259.18 : x
  2. Step 2: Convert to fraction form
    441.44/663.46 = 259.18/x
  3. Step 3: Cross multiply
    441.44x = 663.46 × 259.18
  4. Step 4: Simplify right side
    441.44x = 171,955.56
  5. Step 5: Solve for x
    x = 171,955.56/441.44
  6. Step 6: Final answer
    x = 389.53

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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.