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Finding the Fourth Proportional to 302.97, 418.15 and 171.96

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Solution

The fourth proportional to 302.97, 418.15 and 171.96 is: 237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.97 : 418.15 = 171.96 : x
  2. Step 2: Convert to fraction form
    302.97/418.15 = 171.96/x
  3. Step 3: Cross multiply
    302.97x = 418.15 × 171.96
  4. Step 4: Simplify right side
    302.97x = 71,905.07
  5. Step 5: Solve for x
    x = 71,905.07/302.97
  6. Step 6: Final answer
    x = 237.33

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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.