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Finding the Fourth Proportional to 422.08, 581.68 and 303.85

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Solution

The fourth proportional to 422.08, 581.68 and 303.85 is: 418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.08 : 581.68 = 303.85 : x
  2. Step 2: Convert to fraction form
    422.08/581.68 = 303.85/x
  3. Step 3: Cross multiply
    422.08x = 581.68 × 303.85
  4. Step 4: Simplify right side
    422.08x = 176,744.67
  5. Step 5: Solve for x
    x = 176,744.67/422.08
  6. Step 6: Final answer
    x = 418.75

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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.