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Finding the Fourth Proportional to 277.34, 382.74 and 159.31

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Solution

The fourth proportional to 277.34, 382.74 and 159.31 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 382.74 = 159.31 : x
  2. Step 2: Convert to fraction form
    277.34/382.74 = 159.31/x
  3. Step 3: Cross multiply
    277.34x = 382.74 × 159.31
  4. Step 4: Simplify right side
    277.34x = 60,974.31
  5. Step 5: Solve for x
    x = 60,974.31/277.34
  6. Step 6: Final answer
    x = 219.85

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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.