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Finding the Fourth Proportional to 441.34, 660.38 and 278.26

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Solution

The fourth proportional to 441.34, 660.38 and 278.26 is: 416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.34 : 660.38 = 278.26 : x
  2. Step 2: Convert to fraction form
    441.34/660.38 = 278.26/x
  3. Step 3: Cross multiply
    441.34x = 660.38 × 278.26
  4. Step 4: Simplify right side
    441.34x = 183,757.34
  5. Step 5: Solve for x
    x = 183,757.34/441.34
  6. Step 6: Final answer
    x = 416.36

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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.