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Finding the Fourth Proportional to 451.25, 622.68 and 252.08

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Solution

The fourth proportional to 451.25, 622.68 and 252.08 is: 347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.25 : 622.68 = 252.08 : x
  2. Step 2: Convert to fraction form
    451.25/622.68 = 252.08/x
  3. Step 3: Cross multiply
    451.25x = 622.68 × 252.08
  4. Step 4: Simplify right side
    451.25x = 156,965.17
  5. Step 5: Solve for x
    x = 156,965.17/451.25
  6. Step 6: Final answer
    x = 347.85

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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.