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Finding the Fourth Proportional to 277.62, 414.78 and 272.52

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Solution

The fourth proportional to 277.62, 414.78 and 272.52 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.62 : 414.78 = 272.52 : x
  2. Step 2: Convert to fraction form
    277.62/414.78 = 272.52/x
  3. Step 3: Cross multiply
    277.62x = 414.78 × 272.52
  4. Step 4: Simplify right side
    277.62x = 113,035.85
  5. Step 5: Solve for x
    x = 113,035.85/277.62
  6. Step 6: Final answer
    x = 407.16

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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.