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Finding the Fourth Proportional to 654.41, 980.99 and 221.25

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Solution

The fourth proportional to 654.41, 980.99 and 221.25 is: 331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.41 : 980.99 = 221.25 : x
  2. Step 2: Convert to fraction form
    654.41/980.99 = 221.25/x
  3. Step 3: Cross multiply
    654.41x = 980.99 × 221.25
  4. Step 4: Simplify right side
    654.41x = 217,044.04
  5. Step 5: Solve for x
    x = 217,044.04/654.41
  6. Step 6: Final answer
    x = 331.66

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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.