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Finding the Fourth Proportional to 235.71, 325.22 and 165.78

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Solution

The fourth proportional to 235.71, 325.22 and 165.78 is: 228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.71 : 325.22 = 165.78 : x
  2. Step 2: Convert to fraction form
    235.71/325.22 = 165.78/x
  3. Step 3: Cross multiply
    235.71x = 325.22 × 165.78
  4. Step 4: Simplify right side
    235.71x = 53,914.14
  5. Step 5: Solve for x
    x = 53,914.14/235.71
  6. Step 6: Final answer
    x = 228.73

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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.