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Finding the Fourth Proportional to 255.15, 380.16 and 239.42

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Solution

The fourth proportional to 255.15, 380.16 and 239.42 is: 356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.15 : 380.16 = 239.42 : x
  2. Step 2: Convert to fraction form
    255.15/380.16 = 239.42/x
  3. Step 3: Cross multiply
    255.15x = 380.16 × 239.42
  4. Step 4: Simplify right side
    255.15x = 91,018.86
  5. Step 5: Solve for x
    x = 91,018.86/255.15
  6. Step 6: Final answer
    x = 356.73

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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.