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Finding the Fourth Proportional to 277.10, 381.86 and 203.43

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Solution

The fourth proportional to 277.10, 381.86 and 203.43 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.10 : 381.86 = 203.43 : x
  2. Step 2: Convert to fraction form
    277.10/381.86 = 203.43/x
  3. Step 3: Cross multiply
    277.10x = 381.86 × 203.43
  4. Step 4: Simplify right side
    277.10x = 77,680.76
  5. Step 5: Solve for x
    x = 77,680.76/277.10
  6. Step 6: Final answer
    x = 280.34

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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.