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Finding the Fourth Proportional to 422.63, 583.03 and 275.21

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Solution

The fourth proportional to 422.63, 583.03 and 275.21 is: 379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 583.03 = 275.21 : x
  2. Step 2: Convert to fraction form
    422.63/583.03 = 275.21/x
  3. Step 3: Cross multiply
    422.63x = 583.03 × 275.21
  4. Step 4: Simplify right side
    422.63x = 160,455.69
  5. Step 5: Solve for x
    x = 160,455.69/422.63
  6. Step 6: Final answer
    x = 379.66

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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.