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Finding the Fourth Proportional to 300.68, 415.12 and 190.20

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Solution

The fourth proportional to 300.68, 415.12 and 190.20 is: 262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.68 : 415.12 = 190.20 : x
  2. Step 2: Convert to fraction form
    300.68/415.12 = 190.20/x
  3. Step 3: Cross multiply
    300.68x = 415.12 × 190.20
  4. Step 4: Simplify right side
    300.68x = 78,955.82
  5. Step 5: Solve for x
    x = 78,955.82/300.68
  6. Step 6: Final answer
    x = 262.59

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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.