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Finding the Fourth Proportional to 300.20, 412.86 and 241.88

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Solution

The fourth proportional to 300.20, 412.86 and 241.88 is: 332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.20 : 412.86 = 241.88 : x
  2. Step 2: Convert to fraction form
    300.20/412.86 = 241.88/x
  3. Step 3: Cross multiply
    300.20x = 412.86 × 241.88
  4. Step 4: Simplify right side
    300.20x = 99,862.58
  5. Step 5: Solve for x
    x = 99,862.58/300.20
  6. Step 6: Final answer
    x = 332.65

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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.