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Finding the Fourth Proportional to 252.05, 347.96 and 164.86

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Solution

The fourth proportional to 252.05, 347.96 and 164.86 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.05 : 347.96 = 164.86 : x
  2. Step 2: Convert to fraction form
    252.05/347.96 = 164.86/x
  3. Step 3: Cross multiply
    252.05x = 347.96 × 164.86
  4. Step 4: Simplify right side
    252.05x = 57,362.12
  5. Step 5: Solve for x
    x = 57,362.12/252.05
  6. Step 6: Final answer
    x = 227.58

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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.