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Finding the Fourth Proportional to 305.90, 422.34 and 193.91

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Solution

The fourth proportional to 305.90, 422.34 and 193.91 is: 267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.90 : 422.34 = 193.91 : x
  2. Step 2: Convert to fraction form
    305.90/422.34 = 193.91/x
  3. Step 3: Cross multiply
    305.90x = 422.34 × 193.91
  4. Step 4: Simplify right side
    305.90x = 81,893.84
  5. Step 5: Solve for x
    x = 81,893.84/305.90
  6. Step 6: Final answer
    x = 267.72

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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.