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Finding the Fourth Proportional to 252.52, 348.38 and 164.10

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Solution

The fourth proportional to 252.52, 348.38 and 164.10 is: 226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.52 : 348.38 = 164.10 : x
  2. Step 2: Convert to fraction form
    252.52/348.38 = 164.10/x
  3. Step 3: Cross multiply
    252.52x = 348.38 × 164.10
  4. Step 4: Simplify right side
    252.52x = 57,170.26
  5. Step 5: Solve for x
    x = 57,170.26/252.52
  6. Step 6: Final answer
    x = 226.40

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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.