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Finding the Fourth Proportional to 235.64, 325.26 and 142.44

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Solution

The fourth proportional to 235.64, 325.26 and 142.44 is: 196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 325.26 = 142.44 : x
  2. Step 2: Convert to fraction form
    235.64/325.26 = 142.44/x
  3. Step 3: Cross multiply
    235.64x = 325.26 × 142.44
  4. Step 4: Simplify right side
    235.64x = 46,330.03
  5. Step 5: Solve for x
    x = 46,330.03/235.64
  6. Step 6: Final answer
    x = 196.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.