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Finding the Fourth Proportional to 441.10, 660.57 and 296.38

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Solution

The fourth proportional to 441.10, 660.57 and 296.38 is: 443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.10 : 660.57 = 296.38 : x
  2. Step 2: Convert to fraction form
    441.10/660.57 = 296.38/x
  3. Step 3: Cross multiply
    441.10x = 660.57 × 296.38
  4. Step 4: Simplify right side
    441.10x = 195,779.74
  5. Step 5: Solve for x
    x = 195,779.74/441.10
  6. Step 6: Final answer
    x = 443.84

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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.