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Finding the Fourth Proportional to 252.16, 348.04 and 164.78

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Solution

The fourth proportional to 252.16, 348.04 and 164.78 is: 227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.16 : 348.04 = 164.78 : x
  2. Step 2: Convert to fraction form
    252.16/348.04 = 164.78/x
  3. Step 3: Cross multiply
    252.16x = 348.04 × 164.78
  4. Step 4: Simplify right side
    252.16x = 57,350.49
  5. Step 5: Solve for x
    x = 57,350.49/252.16
  6. Step 6: Final answer
    x = 227.44

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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.