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Finding the Fourth Proportional to 901.34, 1,351.91 and 252

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Solution

The fourth proportional to 901.34, 1,351.91 and 252 is: 377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.34 : 1,351.91 = 252 : x
  2. Step 2: Convert to fraction form
    901.34/1,351.91 = 252/x
  3. Step 3: Cross multiply
    901.34x = 1,351.91 × 252
  4. Step 4: Simplify right side
    901.34x = 340,680.06
  5. Step 5: Solve for x
    x = 340,680.06/901.34
  6. Step 6: Final answer
    x = 377.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.