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Finding the Fourth Proportional to 255.15, 380.84 and 221.13

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Solution

The fourth proportional to 255.15, 380.84 and 221.13 is: 330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.15 : 380.84 = 221.13 : x
  2. Step 2: Convert to fraction form
    255.15/380.84 = 221.13/x
  3. Step 3: Cross multiply
    255.15x = 380.84 × 221.13
  4. Step 4: Simplify right side
    255.15x = 84,214.04
  5. Step 5: Solve for x
    x = 84,214.04/255.15
  6. Step 6: Final answer
    x = 330.06

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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.