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Finding the Fourth Proportional to 422.17, 583.01 and 274.89

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Solution

The fourth proportional to 422.17, 583.01 and 274.89 is: 379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.17 : 583.01 = 274.89 : x
  2. Step 2: Convert to fraction form
    422.17/583.01 = 274.89/x
  3. Step 3: Cross multiply
    422.17x = 583.01 × 274.89
  4. Step 4: Simplify right side
    422.17x = 160,264.31
  5. Step 5: Solve for x
    x = 160,264.31/422.17
  6. Step 6: Final answer
    x = 379.62

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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.