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Finding the Fourth Proportional to 277.37, 415.58 and 199.97

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Solution

The fourth proportional to 277.37, 415.58 and 199.97 is: 299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.37 : 415.58 = 199.97 : x
  2. Step 2: Convert to fraction form
    277.37/415.58 = 199.97/x
  3. Step 3: Cross multiply
    277.37x = 415.58 × 199.97
  4. Step 4: Simplify right side
    277.37x = 83,101.95
  5. Step 5: Solve for x
    x = 83,101.95/277.37
  6. Step 6: Final answer
    x = 299.60

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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.