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Finding the Fourth Proportional to 290.44, 399.90 and 257.68

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Solution

The fourth proportional to 290.44, 399.90 and 257.68 is: 354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.44 : 399.90 = 257.68 : x
  2. Step 2: Convert to fraction form
    290.44/399.90 = 257.68/x
  3. Step 3: Cross multiply
    290.44x = 399.90 × 257.68
  4. Step 4: Simplify right side
    290.44x = 103,046.23
  5. Step 5: Solve for x
    x = 103,046.23/290.44
  6. Step 6: Final answer
    x = 354.79

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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.