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Finding the Fourth Proportional to 235.67, 353.56 and 96.86

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Solution

The fourth proportional to 235.67, 353.56 and 96.86 is: 145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.67 : 353.56 = 96.86 : x
  2. Step 2: Convert to fraction form
    235.67/353.56 = 96.86/x
  3. Step 3: Cross multiply
    235.67x = 353.56 × 96.86
  4. Step 4: Simplify right side
    235.67x = 34,245.82
  5. Step 5: Solve for x
    x = 34,245.82/235.67
  6. Step 6: Final answer
    x = 145.31

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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.