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Finding the Fourth Proportional to 277.38, 381.94 and 237.74

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Solution

The fourth proportional to 277.38, 381.94 and 237.74 is: 327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 381.94 = 237.74 : x
  2. Step 2: Convert to fraction form
    277.38/381.94 = 237.74/x
  3. Step 3: Cross multiply
    277.38x = 381.94 × 237.74
  4. Step 4: Simplify right side
    277.38x = 90,799.91
  5. Step 5: Solve for x
    x = 90,799.91/277.38
  6. Step 6: Final answer
    x = 327.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.