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Finding the Fourth Proportional to 641.81, 962.89 and 209.00

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Solution

The fourth proportional to 641.81, 962.89 and 209.00 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.81 : 962.89 = 209.00 : x
  2. Step 2: Convert to fraction form
    641.81/962.89 = 209.00/x
  3. Step 3: Cross multiply
    641.81x = 962.89 × 209.00
  4. Step 4: Simplify right side
    641.81x = 201,245.89
  5. Step 5: Solve for x
    x = 201,245.89/641.81
  6. Step 6: Final answer
    x = 313.56

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Similar ratio
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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.