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Finding the Fourth Proportional to 252.12, 347.97 and 145.80

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Solution

The fourth proportional to 252.12, 347.97 and 145.80 is: 201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.12 : 347.97 = 145.80 : x
  2. Step 2: Convert to fraction form
    252.12/347.97 = 145.80/x
  3. Step 3: Cross multiply
    252.12x = 347.97 × 145.80
  4. Step 4: Simplify right side
    252.12x = 50,734.03
  5. Step 5: Solve for x
    x = 50,734.03/252.12
  6. Step 6: Final answer
    x = 201.23

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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.