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Finding the Fourth Proportional to 300.75, 415.10 and 206.35

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Solution

The fourth proportional to 300.75, 415.10 and 206.35 is: 284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.75 : 415.10 = 206.35 : x
  2. Step 2: Convert to fraction form
    300.75/415.10 = 206.35/x
  3. Step 3: Cross multiply
    300.75x = 415.10 × 206.35
  4. Step 4: Simplify right side
    300.75x = 85,656.15
  5. Step 5: Solve for x
    x = 85,656.15/300.75
  6. Step 6: Final answer
    x = 284.81

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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.