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Finding the Fourth Proportional to 252.75, 348.86 and 165.54

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Solution

The fourth proportional to 252.75, 348.86 and 165.54 is: 228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 348.86 = 165.54 : x
  2. Step 2: Convert to fraction form
    252.75/348.86 = 165.54/x
  3. Step 3: Cross multiply
    252.75x = 348.86 × 165.54
  4. Step 4: Simplify right side
    252.75x = 57,750.70
  5. Step 5: Solve for x
    x = 57,750.70/252.75
  6. Step 6: Final answer
    x = 228.49

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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.