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Finding the Fourth Proportional to 667.21, 1,000.81 and 205.00

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Solution

The fourth proportional to 667.21, 1,000.81 and 205.00 is: 307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.21 : 1,000.81 = 205.00 : x
  2. Step 2: Convert to fraction form
    667.21/1,000.81 = 205.00/x
  3. Step 3: Cross multiply
    667.21x = 1,000.81 × 205.00
  4. Step 4: Simplify right side
    667.21x = 205,160.02
  5. Step 5: Solve for x
    x = 205,160.02/667.21
  6. Step 6: Final answer
    x = 307.49

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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.