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Finding the Fourth Proportional to 277.32, 414.47 and 255.42

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Solution

The fourth proportional to 277.32, 414.47 and 255.42 is: 381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 414.47 = 255.42 : x
  2. Step 2: Convert to fraction form
    277.32/414.47 = 255.42/x
  3. Step 3: Cross multiply
    277.32x = 414.47 × 255.42
  4. Step 4: Simplify right side
    277.32x = 105,862.65
  5. Step 5: Solve for x
    x = 105,862.65/277.32
  6. Step 6: Final answer
    x = 381.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.