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Finding the Fourth Proportional to 641.87, 962.26 and 271.66

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Solution

The fourth proportional to 641.87, 962.26 and 271.66 is: 407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.87 : 962.26 = 271.66 : x
  2. Step 2: Convert to fraction form
    641.87/962.26 = 271.66/x
  3. Step 3: Cross multiply
    641.87x = 962.26 × 271.66
  4. Step 4: Simplify right side
    641.87x = 261,401.38
  5. Step 5: Solve for x
    x = 261,401.38/641.87
  6. Step 6: Final answer
    x = 407.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.