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Finding the Fourth Proportional to 422.75, 583.08 and 254.58

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Solution

The fourth proportional to 422.75, 583.08 and 254.58 is: 351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 583.08 = 254.58 : x
  2. Step 2: Convert to fraction form
    422.75/583.08 = 254.58/x
  3. Step 3: Cross multiply
    422.75x = 583.08 × 254.58
  4. Step 4: Simplify right side
    422.75x = 148,440.51
  5. Step 5: Solve for x
    x = 148,440.51/422.75
  6. Step 6: Final answer
    x = 351.13

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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.