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Finding the Fourth Proportional to 309.80, 464.92 and 201.83

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Solution

The fourth proportional to 309.80, 464.92 and 201.83 is: 302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 464.92 = 201.83 : x
  2. Step 2: Convert to fraction form
    309.80/464.92 = 201.83/x
  3. Step 3: Cross multiply
    309.80x = 464.92 × 201.83
  4. Step 4: Simplify right side
    309.80x = 93,831.97
  5. Step 5: Solve for x
    x = 93,831.97/309.80
  6. Step 6: Final answer
    x = 302.88

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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.