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Finding the Fourth Proportional to 441.12, 661.92 and 265.56

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Solution

The fourth proportional to 441.12, 661.92 and 265.56 is: 398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.12 : 661.92 = 265.56 : x
  2. Step 2: Convert to fraction form
    441.12/661.92 = 265.56/x
  3. Step 3: Cross multiply
    441.12x = 661.92 × 265.56
  4. Step 4: Simplify right side
    441.12x = 175,779.48
  5. Step 5: Solve for x
    x = 175,779.48/441.12
  6. Step 6: Final answer
    x = 398.48

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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.