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Finding the Fourth Proportional to 302.46, 416.79 and 197.43

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Solution

The fourth proportional to 302.46, 416.79 and 197.43 is: 272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 416.79 = 197.43 : x
  2. Step 2: Convert to fraction form
    302.46/416.79 = 197.43/x
  3. Step 3: Cross multiply
    302.46x = 416.79 × 197.43
  4. Step 4: Simplify right side
    302.46x = 82,286.85
  5. Step 5: Solve for x
    x = 82,286.85/302.46
  6. Step 6: Final answer
    x = 272.06

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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.