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Finding the Fourth Proportional to 451.24, 622.70 and 252.07

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Solution

The fourth proportional to 451.24, 622.70 and 252.07 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.24 : 622.70 = 252.07 : x
  2. Step 2: Convert to fraction form
    451.24/622.70 = 252.07/x
  3. Step 3: Cross multiply
    451.24x = 622.70 × 252.07
  4. Step 4: Simplify right side
    451.24x = 156,959.62
  5. Step 5: Solve for x
    x = 156,959.62/451.24
  6. Step 6: Final answer
    x = 347.84

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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.