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Finding the Fourth Proportional to 641.12, 960.99 and 271.13

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Solution

The fourth proportional to 641.12, 960.99 and 271.13 is: 406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.12 : 960.99 = 271.13 : x
  2. Step 2: Convert to fraction form
    641.12/960.99 = 271.13/x
  3. Step 3: Cross multiply
    641.12x = 960.99 × 271.13
  4. Step 4: Simplify right side
    641.12x = 260,548.41
  5. Step 5: Solve for x
    x = 260,548.41/641.12
  6. Step 6: Final answer
    x = 406.40

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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.