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Finding the Fourth Proportional to 277.54, 382.42 and 190.06

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Solution

The fourth proportional to 277.54, 382.42 and 190.06 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.54 : 382.42 = 190.06 : x
  2. Step 2: Convert to fraction form
    277.54/382.42 = 190.06/x
  3. Step 3: Cross multiply
    277.54x = 382.42 × 190.06
  4. Step 4: Simplify right side
    277.54x = 72,682.75
  5. Step 5: Solve for x
    x = 72,682.75/277.54
  6. Step 6: Final answer
    x = 261.88

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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.