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Finding the Fourth Proportional to 290.38, 433.31 and 283.43

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Solution

The fourth proportional to 290.38, 433.31 and 283.43 is: 422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.38 : 433.31 = 283.43 : x
  2. Step 2: Convert to fraction form
    290.38/433.31 = 283.43/x
  3. Step 3: Cross multiply
    290.38x = 433.31 × 283.43
  4. Step 4: Simplify right side
    290.38x = 122,813.05
  5. Step 5: Solve for x
    x = 122,813.05/290.38
  6. Step 6: Final answer
    x = 422.94

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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.