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Finding the Fourth Proportional to 422.71, 583.40 and 265.43

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Solution

The fourth proportional to 422.71, 583.40 and 265.43 is: 366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.71 : 583.40 = 265.43 : x
  2. Step 2: Convert to fraction form
    422.71/583.40 = 265.43/x
  3. Step 3: Cross multiply
    422.71x = 583.40 × 265.43
  4. Step 4: Simplify right side
    422.71x = 154,853.98
  5. Step 5: Solve for x
    x = 154,853.98/422.71
  6. Step 6: Final answer
    x = 366.34

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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.