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Finding the Fourth Proportional to 309.08, 462.88 and 200.56

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Solution

The fourth proportional to 309.08, 462.88 and 200.56 is: 300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.08 : 462.88 = 200.56 : x
  2. Step 2: Convert to fraction form
    309.08/462.88 = 200.56/x
  3. Step 3: Cross multiply
    309.08x = 462.88 × 200.56
  4. Step 4: Simplify right side
    309.08x = 92,835.21
  5. Step 5: Solve for x
    x = 92,835.21/309.08
  6. Step 6: Final answer
    x = 300.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.