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Finding the Fourth Proportional to 277.11, 382.28 and 189.87

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Solution

The fourth proportional to 277.11, 382.28 and 189.87 is: 261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 382.28 = 189.87 : x
  2. Step 2: Convert to fraction form
    277.11/382.28 = 189.87/x
  3. Step 3: Cross multiply
    277.11x = 382.28 × 189.87
  4. Step 4: Simplify right side
    277.11x = 72,582.55
  5. Step 5: Solve for x
    x = 72,582.55/277.11
  6. Step 6: Final answer
    x = 261.93

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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.