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Finding the Fourth Proportional to 422.03, 581.99 and 282.15

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Solution

The fourth proportional to 422.03, 581.99 and 282.15 is: 389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.03 : 581.99 = 282.15 : x
  2. Step 2: Convert to fraction form
    422.03/581.99 = 282.15/x
  3. Step 3: Cross multiply
    422.03x = 581.99 × 282.15
  4. Step 4: Simplify right side
    422.03x = 164,207.07
  5. Step 5: Solve for x
    x = 164,207.07/422.03
  6. Step 6: Final answer
    x = 389.09

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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.