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Finding the Fourth Proportional to 235.80, 325.26 and 165.74

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Solution

The fourth proportional to 235.80, 325.26 and 165.74 is: 228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 325.26 = 165.74 : x
  2. Step 2: Convert to fraction form
    235.80/325.26 = 165.74/x
  3. Step 3: Cross multiply
    235.80x = 325.26 × 165.74
  4. Step 4: Simplify right side
    235.80x = 53,906.97
  5. Step 5: Solve for x
    x = 53,906.97/235.80
  6. Step 6: Final answer
    x = 228.61

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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.