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Finding the Fourth Proportional to 299.39, 446.97 and 253.25

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Solution

The fourth proportional to 299.39, 446.97 and 253.25 is: 378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.39 : 446.97 = 253.25 : x
  2. Step 2: Convert to fraction form
    299.39/446.97 = 253.25/x
  3. Step 3: Cross multiply
    299.39x = 446.97 × 253.25
  4. Step 4: Simplify right side
    299.39x = 113,192.92
  5. Step 5: Solve for x
    x = 113,192.92/299.39
  6. Step 6: Final answer
    x = 378.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.