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Finding the Fourth Proportional to 235.31, 352.64 and 131.09

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Solution

The fourth proportional to 235.31, 352.64 and 131.09 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.31 : 352.64 = 131.09 : x
  2. Step 2: Convert to fraction form
    235.31/352.64 = 131.09/x
  3. Step 3: Cross multiply
    235.31x = 352.64 × 131.09
  4. Step 4: Simplify right side
    235.31x = 46,226.14
  5. Step 5: Solve for x
    x = 46,226.14/235.31
  6. Step 6: Final answer
    x = 196.45

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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.