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Finding the Fourth Proportional to 252.45, 347.19 and 203.24

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Solution

The fourth proportional to 252.45, 347.19 and 203.24 is: 279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.45 : 347.19 = 203.24 : x
  2. Step 2: Convert to fraction form
    252.45/347.19 = 203.24/x
  3. Step 3: Cross multiply
    252.45x = 347.19 × 203.24
  4. Step 4: Simplify right side
    252.45x = 70,563.00
  5. Step 5: Solve for x
    x = 70,563.00/252.45
  6. Step 6: Final answer
    x = 279.51

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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.