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Finding the Fourth Proportional to 290.17, 399.09 and 231.85

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Solution

The fourth proportional to 290.17, 399.09 and 231.85 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.17 : 399.09 = 231.85 : x
  2. Step 2: Convert to fraction form
    290.17/399.09 = 231.85/x
  3. Step 3: Cross multiply
    290.17x = 399.09 × 231.85
  4. Step 4: Simplify right side
    290.17x = 92,529.02
  5. Step 5: Solve for x
    x = 92,529.02/290.17
  6. Step 6: Final answer
    x = 318.88

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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.