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Finding the Fourth Proportional to 255.22, 380.38 and 242.26

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Solution

The fourth proportional to 255.22, 380.38 and 242.26 is: 361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.22 : 380.38 = 242.26 : x
  2. Step 2: Convert to fraction form
    255.22/380.38 = 242.26/x
  3. Step 3: Cross multiply
    255.22x = 380.38 × 242.26
  4. Step 4: Simplify right side
    255.22x = 92,150.86
  5. Step 5: Solve for x
    x = 92,150.86/255.22
  6. Step 6: Final answer
    x = 361.06

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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.