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Finding the Fourth Proportional to 641.90, 885.89 and 362.20

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Solution

The fourth proportional to 641.90, 885.89 and 362.20 is: 499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.90 : 885.89 = 362.20 : x
  2. Step 2: Convert to fraction form
    641.90/885.89 = 362.20/x
  3. Step 3: Cross multiply
    641.90x = 885.89 × 362.20
  4. Step 4: Simplify right side
    641.90x = 320,865.33
  5. Step 5: Solve for x
    x = 320,865.33/641.90
  6. Step 6: Final answer
    x = 499.87

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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.