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Finding the Fourth Proportional to 299.09, 412.58 and 220.42

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Solution

The fourth proportional to 299.09, 412.58 and 220.42 is: 304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.09 : 412.58 = 220.42 : x
  2. Step 2: Convert to fraction form
    299.09/412.58 = 220.42/x
  3. Step 3: Cross multiply
    299.09x = 412.58 × 220.42
  4. Step 4: Simplify right side
    299.09x = 90,937.72
  5. Step 5: Solve for x
    x = 90,937.72/299.09
  6. Step 6: Final answer
    x = 304.05

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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.