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Finding the Fourth Proportional to 306.99, 422.34 and 277.56

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Solution

The fourth proportional to 306.99, 422.34 and 277.56 is: 381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.99 : 422.34 = 277.56 : x
  2. Step 2: Convert to fraction form
    306.99/422.34 = 277.56/x
  3. Step 3: Cross multiply
    306.99x = 422.34 × 277.56
  4. Step 4: Simplify right side
    306.99x = 117,224.69
  5. Step 5: Solve for x
    x = 117,224.69/306.99
  6. Step 6: Final answer
    x = 381.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.