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Finding the Fourth Proportional to 235.85, 353.77 and 166.15

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Solution

The fourth proportional to 235.85, 353.77 and 166.15 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.85 : 353.77 = 166.15 : x
  2. Step 2: Convert to fraction form
    235.85/353.77 = 166.15/x
  3. Step 3: Cross multiply
    235.85x = 353.77 × 166.15
  4. Step 4: Simplify right side
    235.85x = 58,779.85
  5. Step 5: Solve for x
    x = 58,779.85/235.85
  6. Step 6: Final answer
    x = 249.22

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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.