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Finding the Fourth Proportional to 302.19, 414.31 and 296.73

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Solution

The fourth proportional to 302.19, 414.31 and 296.73 is: 406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.19 : 414.31 = 296.73 : x
  2. Step 2: Convert to fraction form
    302.19/414.31 = 296.73/x
  3. Step 3: Cross multiply
    302.19x = 414.31 × 296.73
  4. Step 4: Simplify right side
    302.19x = 122,936.13
  5. Step 5: Solve for x
    x = 122,936.13/302.19
  6. Step 6: Final answer
    x = 406.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.