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Finding the Fourth Proportional to 252.92, 349.18 and 165.75

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Solution

The fourth proportional to 252.92, 349.18 and 165.75 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.92 : 349.18 = 165.75 : x
  2. Step 2: Convert to fraction form
    252.92/349.18 = 165.75/x
  3. Step 3: Cross multiply
    252.92x = 349.18 × 165.75
  4. Step 4: Simplify right side
    252.92x = 57,875.90
  5. Step 5: Solve for x
    x = 57,875.90/252.92
  6. Step 6: Final answer
    x = 228.83

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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.