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Finding the Fourth Proportional to 252.32, 348.40 and 164.96

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Solution

The fourth proportional to 252.32, 348.40 and 164.96 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 348.40 = 164.96 : x
  2. Step 2: Convert to fraction form
    252.32/348.40 = 164.96/x
  3. Step 3: Cross multiply
    252.32x = 348.40 × 164.96
  4. Step 4: Simplify right side
    252.32x = 57,472.06
  5. Step 5: Solve for x
    x = 57,472.06/252.32
  6. Step 6: Final answer
    x = 227.77

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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.