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Finding the Fourth Proportional to 277.74, 414.99 and 225.72

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Solution

The fourth proportional to 277.74, 414.99 and 225.72 is: 337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 414.99 = 225.72 : x
  2. Step 2: Convert to fraction form
    277.74/414.99 = 225.72/x
  3. Step 3: Cross multiply
    277.74x = 414.99 × 225.72
  4. Step 4: Simplify right side
    277.74x = 93,671.54
  5. Step 5: Solve for x
    x = 93,671.54/277.74
  6. Step 6: Final answer
    x = 337.26

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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.