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Finding the Fourth Proportional to 227.78, 342.01 and 130.39

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Solution

The fourth proportional to 227.78, 342.01 and 130.39 is: 195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.78 : 342.01 = 130.39 : x
  2. Step 2: Convert to fraction form
    227.78/342.01 = 130.39/x
  3. Step 3: Cross multiply
    227.78x = 342.01 × 130.39
  4. Step 4: Simplify right side
    227.78x = 44,593.83
  5. Step 5: Solve for x
    x = 44,593.83/227.78
  6. Step 6: Final answer
    x = 195.78

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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.