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Finding the Fourth Proportional to 302.97, 418.49 and 250.72

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Solution

The fourth proportional to 302.97, 418.49 and 250.72 is: 346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.97 : 418.49 = 250.72 : x
  2. Step 2: Convert to fraction form
    302.97/418.49 = 250.72/x
  3. Step 3: Cross multiply
    302.97x = 418.49 × 250.72
  4. Step 4: Simplify right side
    302.97x = 104,922.56
  5. Step 5: Solve for x
    x = 104,922.56/302.97
  6. Step 6: Final answer
    x = 346.32

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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.