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Finding the Fourth Proportional to 277.46, 415.29 and 194.78

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Solution

The fourth proportional to 277.46, 415.29 and 194.78 is: 291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.46 : 415.29 = 194.78 : x
  2. Step 2: Convert to fraction form
    277.46/415.29 = 194.78/x
  3. Step 3: Cross multiply
    277.46x = 415.29 × 194.78
  4. Step 4: Simplify right side
    277.46x = 80,890.19
  5. Step 5: Solve for x
    x = 80,890.19/277.46
  6. Step 6: Final answer
    x = 291.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.