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Finding the Fourth Proportional to 252.16, 348.16 and 163.77

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Solution

The fourth proportional to 252.16, 348.16 and 163.77 is: 226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.16 : 348.16 = 163.77 : x
  2. Step 2: Convert to fraction form
    252.16/348.16 = 163.77/x
  3. Step 3: Cross multiply
    252.16x = 348.16 × 163.77
  4. Step 4: Simplify right side
    252.16x = 57,017.06
  5. Step 5: Solve for x
    x = 57,017.06/252.16
  6. Step 6: Final answer
    x = 226.12

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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.