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Finding the Fourth Proportional to 300.50, 415.08 and 207.08

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Solution

The fourth proportional to 300.50, 415.08 and 207.08 is: 286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.50 : 415.08 = 207.08 : x
  2. Step 2: Convert to fraction form
    300.50/415.08 = 207.08/x
  3. Step 3: Cross multiply
    300.50x = 415.08 × 207.08
  4. Step 4: Simplify right side
    300.50x = 85,954.25
  5. Step 5: Solve for x
    x = 85,954.25/300.50
  6. Step 6: Final answer
    x = 286.04

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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.