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Finding the Fourth Proportional to 422.97, 633.17 and 258

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Solution

The fourth proportional to 422.97, 633.17 and 258 is: 386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.97 : 633.17 = 258 : x
  2. Step 2: Convert to fraction form
    422.97/633.17 = 258/x
  3. Step 3: Cross multiply
    422.97x = 633.17 × 258
  4. Step 4: Simplify right side
    422.97x = 163,356.57
  5. Step 5: Solve for x
    x = 163,356.57/422.97
  6. Step 6: Final answer
    x = 386.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.