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Finding the Fourth Proportional to 302.49, 451.09 and 299.75

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Solution

The fourth proportional to 302.49, 451.09 and 299.75 is: 447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.49 : 451.09 = 299.75 : x
  2. Step 2: Convert to fraction form
    302.49/451.09 = 299.75/x
  3. Step 3: Cross multiply
    302.49x = 451.09 × 299.75
  4. Step 4: Simplify right side
    302.49x = 135,214.61
  5. Step 5: Solve for x
    x = 135,214.61/302.49
  6. Step 6: Final answer
    x = 447.01

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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.