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Finding the Fourth Proportional to 302.30, 412.85 and 299.06

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Solution

The fourth proportional to 302.30, 412.85 and 299.06 is: 408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.30 : 412.85 = 299.06 : x
  2. Step 2: Convert to fraction form
    302.30/412.85 = 299.06/x
  3. Step 3: Cross multiply
    302.30x = 412.85 × 299.06
  4. Step 4: Simplify right side
    302.30x = 123,466.92
  5. Step 5: Solve for x
    x = 123,466.92/302.30
  6. Step 6: Final answer
    x = 408.43

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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.