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Finding the Fourth Proportional to 277.19, 415.17 and 271.65

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Solution

The fourth proportional to 277.19, 415.17 and 271.65 is: 406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.19 : 415.17 = 271.65 : x
  2. Step 2: Convert to fraction form
    277.19/415.17 = 271.65/x
  3. Step 3: Cross multiply
    277.19x = 415.17 × 271.65
  4. Step 4: Simplify right side
    277.19x = 112,780.93
  5. Step 5: Solve for x
    x = 112,780.93/277.19
  6. Step 6: Final answer
    x = 406.88

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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.