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Finding the Fourth Proportional to 451.24, 622.68 and 320.50

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Solution

The fourth proportional to 451.24, 622.68 and 320.50 is: 442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.24 : 622.68 = 320.50 : x
  2. Step 2: Convert to fraction form
    451.24/622.68 = 320.50/x
  3. Step 3: Cross multiply
    451.24x = 622.68 × 320.50
  4. Step 4: Simplify right side
    451.24x = 199,568.94
  5. Step 5: Solve for x
    x = 199,568.94/451.24
  6. Step 6: Final answer
    x = 442.27

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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.