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Finding the Fourth Proportional to 252.46, 348.50 and 164.06

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Solution

The fourth proportional to 252.46, 348.50 and 164.06 is: 226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.46 : 348.50 = 164.06 : x
  2. Step 2: Convert to fraction form
    252.46/348.50 = 164.06/x
  3. Step 3: Cross multiply
    252.46x = 348.50 × 164.06
  4. Step 4: Simplify right side
    252.46x = 57,174.91
  5. Step 5: Solve for x
    x = 57,174.91/252.46
  6. Step 6: Final answer
    x = 226.47

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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.