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Finding the Fourth Proportional to 641.96, 963.10 and 209.12

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Solution

The fourth proportional to 641.96, 963.10 and 209.12 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.96 : 963.10 = 209.12 : x
  2. Step 2: Convert to fraction form
    641.96/963.10 = 209.12/x
  3. Step 3: Cross multiply
    641.96x = 963.10 × 209.12
  4. Step 4: Simplify right side
    641.96x = 201,403.47
  5. Step 5: Solve for x
    x = 201,403.47/641.96
  6. Step 6: Final answer
    x = 313.73

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Double scale
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1.5x scale

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.