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Finding the Fourth Proportional to 252.17, 348.59 and 249.84

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Solution

The fourth proportional to 252.17, 348.59 and 249.84 is: 345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.17 : 348.59 = 249.84 : x
  2. Step 2: Convert to fraction form
    252.17/348.59 = 249.84/x
  3. Step 3: Cross multiply
    252.17x = 348.59 × 249.84
  4. Step 4: Simplify right side
    252.17x = 87,090.48
  5. Step 5: Solve for x
    x = 87,090.48/252.17
  6. Step 6: Final answer
    x = 345.37

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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.