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Finding the Fourth Proportional to 322.50, 444.65 and 252.34

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Solution

The fourth proportional to 322.50, 444.65 and 252.34 is: 347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.50 : 444.65 = 252.34 : x
  2. Step 2: Convert to fraction form
    322.50/444.65 = 252.34/x
  3. Step 3: Cross multiply
    322.50x = 444.65 × 252.34
  4. Step 4: Simplify right side
    322.50x = 112,202.98
  5. Step 5: Solve for x
    x = 112,202.98/322.50
  6. Step 6: Final answer
    x = 347.92

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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.