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Finding the Fourth Proportional to 227, 338.95 and 186.32

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Solution

The fourth proportional to 227, 338.95 and 186.32 is: 278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227 : 338.95 = 186.32 : x
  2. Step 2: Convert to fraction form
    227/338.95 = 186.32/x
  3. Step 3: Cross multiply
    227x = 338.95 × 186.32
  4. Step 4: Simplify right side
    227x = 63,153.16
  5. Step 5: Solve for x
    x = 63,153.16/227
  6. Step 6: Final answer
    x = 278.21

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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.