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Finding the Fourth Proportional to 277.42, 382.60 and 179.02

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Solution

The fourth proportional to 277.42, 382.60 and 179.02 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 382.60 = 179.02 : x
  2. Step 2: Convert to fraction form
    277.42/382.60 = 179.02/x
  3. Step 3: Cross multiply
    277.42x = 382.60 × 179.02
  4. Step 4: Simplify right side
    277.42x = 68,493.05
  5. Step 5: Solve for x
    x = 68,493.05/277.42
  6. Step 6: Final answer
    x = 246.89

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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.