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Finding the Fourth Proportional to 422.06, 581.85 and 290.84

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Solution

The fourth proportional to 422.06, 581.85 and 290.84 is: 400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 581.85 = 290.84 : x
  2. Step 2: Convert to fraction form
    422.06/581.85 = 290.84/x
  3. Step 3: Cross multiply
    422.06x = 581.85 × 290.84
  4. Step 4: Simplify right side
    422.06x = 169,222.34
  5. Step 5: Solve for x
    x = 169,222.34/422.06
  6. Step 6: Final answer
    x = 400.95

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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.