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Finding the Fourth Proportional to 290.52, 433.62 and 249.21

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Solution

The fourth proportional to 290.52, 433.62 and 249.21 is: 371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.52 : 433.62 = 249.21 : x
  2. Step 2: Convert to fraction form
    290.52/433.62 = 249.21/x
  3. Step 3: Cross multiply
    290.52x = 433.62 × 249.21
  4. Step 4: Simplify right side
    290.52x = 108,062.44
  5. Step 5: Solve for x
    x = 108,062.44/290.52
  6. Step 6: Final answer
    x = 371.96

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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.