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Finding the Fourth Proportional to 277.32, 415.43 and 219.65

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Solution

The fourth proportional to 277.32, 415.43 and 219.65 is: 329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 415.43 = 219.65 : x
  2. Step 2: Convert to fraction form
    277.32/415.43 = 219.65/x
  3. Step 3: Cross multiply
    277.32x = 415.43 × 219.65
  4. Step 4: Simplify right side
    277.32x = 91,246.85
  5. Step 5: Solve for x
    x = 91,246.85/277.32
  6. Step 6: Final answer
    x = 329.03

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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.