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Finding the Fourth Proportional to 290.62, 433.38 and 283.64

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Solution

The fourth proportional to 290.62, 433.38 and 283.64 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.62 : 433.38 = 283.64 : x
  2. Step 2: Convert to fraction form
    290.62/433.38 = 283.64/x
  3. Step 3: Cross multiply
    290.62x = 433.38 × 283.64
  4. Step 4: Simplify right side
    290.62x = 122,922.80
  5. Step 5: Solve for x
    x = 122,922.80/290.62
  6. Step 6: Final answer
    x = 422.97

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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.