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Finding the Fourth Proportional to 235.72, 353.36 and 170.56

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Solution

The fourth proportional to 235.72, 353.36 and 170.56 is: 255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 353.36 = 170.56 : x
  2. Step 2: Convert to fraction form
    235.72/353.36 = 170.56/x
  3. Step 3: Cross multiply
    235.72x = 353.36 × 170.56
  4. Step 4: Simplify right side
    235.72x = 60,269.08
  5. Step 5: Solve for x
    x = 60,269.08/235.72
  6. Step 6: Final answer
    x = 255.68

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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.