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Finding the Fourth Proportional to 255.29, 380.97 and 221.00

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Solution

The fourth proportional to 255.29, 380.97 and 221.00 is: 329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.29 : 380.97 = 221.00 : x
  2. Step 2: Convert to fraction form
    255.29/380.97 = 221.00/x
  3. Step 3: Cross multiply
    255.29x = 380.97 × 221.00
  4. Step 4: Simplify right side
    255.29x = 84,192.47
  5. Step 5: Solve for x
    x = 84,192.47/255.29
  6. Step 6: Final answer
    x = 329.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.