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Finding the Fourth Proportional to 302.13, 450.16 and 299.09

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Solution

The fourth proportional to 302.13, 450.16 and 299.09 is: 445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 450.16 = 299.09 : x
  2. Step 2: Convert to fraction form
    302.13/450.16 = 299.09/x
  3. Step 3: Cross multiply
    302.13x = 450.16 × 299.09
  4. Step 4: Simplify right side
    302.13x = 134,638.73
  5. Step 5: Solve for x
    x = 134,638.73/302.13
  6. Step 6: Final answer
    x = 445.63

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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.