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Finding the Fourth Proportional to 422, 581.88 and 290.78

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Solution

The fourth proportional to 422, 581.88 and 290.78 is: 400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 581.88 = 290.78 : x
  2. Step 2: Convert to fraction form
    422/581.88 = 290.78/x
  3. Step 3: Cross multiply
    422x = 581.88 × 290.78
  4. Step 4: Simplify right side
    422x = 169,199.07
  5. Step 5: Solve for x
    x = 169,199.07/422
  6. Step 6: Final answer
    x = 400.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.