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Finding the Fourth Proportional to 441.52, 661.68 and 235.78

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Solution

The fourth proportional to 441.52, 661.68 and 235.78 is: 353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.52 : 661.68 = 235.78 : x
  2. Step 2: Convert to fraction form
    441.52/661.68 = 235.78/x
  3. Step 3: Cross multiply
    441.52x = 661.68 × 235.78
  4. Step 4: Simplify right side
    441.52x = 156,010.91
  5. Step 5: Solve for x
    x = 156,010.91/441.52
  6. Step 6: Final answer
    x = 353.35

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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.