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Finding the Fourth Proportional to 252.30, 347.97 and 165.06

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Solution

The fourth proportional to 252.30, 347.97 and 165.06 is: 227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.30 : 347.97 = 165.06 : x
  2. Step 2: Convert to fraction form
    252.30/347.97 = 165.06/x
  3. Step 3: Cross multiply
    252.30x = 347.97 × 165.06
  4. Step 4: Simplify right side
    252.30x = 57,435.93
  5. Step 5: Solve for x
    x = 57,435.93/252.30
  6. Step 6: Final answer
    x = 227.65

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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.