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Finding the Fourth Proportional to 422.13, 581.99 and 274.71

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Solution

The fourth proportional to 422.13, 581.99 and 274.71 is: 378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.13 : 581.99 = 274.71 : x
  2. Step 2: Convert to fraction form
    422.13/581.99 = 274.71/x
  3. Step 3: Cross multiply
    422.13x = 581.99 × 274.71
  4. Step 4: Simplify right side
    422.13x = 159,877.10
  5. Step 5: Solve for x
    x = 159,877.10/422.13
  6. Step 6: Final answer
    x = 378.74

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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.