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Finding the Fourth Proportional to 277.12, 414.21 and 196.02

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Solution

The fourth proportional to 277.12, 414.21 and 196.02 is: 292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.12 : 414.21 = 196.02 : x
  2. Step 2: Convert to fraction form
    277.12/414.21 = 196.02/x
  3. Step 3: Cross multiply
    277.12x = 414.21 × 196.02
  4. Step 4: Simplify right side
    277.12x = 81,194.18
  5. Step 5: Solve for x
    x = 81,194.18/277.12
  6. Step 6: Final answer
    x = 292.99

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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.