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Finding the Fourth Proportional to 299.14, 412.56 and 220.48

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Solution

The fourth proportional to 299.14, 412.56 and 220.48 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.14 : 412.56 = 220.48 : x
  2. Step 2: Convert to fraction form
    299.14/412.56 = 220.48/x
  3. Step 3: Cross multiply
    299.14x = 412.56 × 220.48
  4. Step 4: Simplify right side
    299.14x = 90,961.23
  5. Step 5: Solve for x
    x = 90,961.23/299.14
  6. Step 6: Final answer
    x = 304.08

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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.