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Finding the Fourth Proportional to 235.87, 353.98 and 114.22

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Solution

The fourth proportional to 235.87, 353.98 and 114.22 is: 171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.87 : 353.98 = 114.22 : x
  2. Step 2: Convert to fraction form
    235.87/353.98 = 114.22/x
  3. Step 3: Cross multiply
    235.87x = 353.98 × 114.22
  4. Step 4: Simplify right side
    235.87x = 40,431.60
  5. Step 5: Solve for x
    x = 40,431.60/235.87
  6. Step 6: Final answer
    x = 171.41

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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.