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Finding the Fourth Proportional to 422.88, 583.68 and 265.44

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Solution

The fourth proportional to 422.88, 583.68 and 265.44 is: 366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 583.68 = 265.44 : x
  2. Step 2: Convert to fraction form
    422.88/583.68 = 265.44/x
  3. Step 3: Cross multiply
    422.88x = 583.68 × 265.44
  4. Step 4: Simplify right side
    422.88x = 154,932.02
  5. Step 5: Solve for x
    x = 154,932.02/422.88
  6. Step 6: Final answer
    x = 366.37

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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.