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Finding the Fourth Proportional to 426.22, 636.24 and 364.24

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Solution

The fourth proportional to 426.22, 636.24 and 364.24 is: 543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.22 : 636.24 = 364.24 : x
  2. Step 2: Convert to fraction form
    426.22/636.24 = 364.24/x
  3. Step 3: Cross multiply
    426.22x = 636.24 × 364.24
  4. Step 4: Simplify right side
    426.22x = 231,744.06
  5. Step 5: Solve for x
    x = 231,744.06/426.22
  6. Step 6: Final answer
    x = 543.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.