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Finding the Fourth Proportional to 309.93, 464.83 and 200.07

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Solution

The fourth proportional to 309.93, 464.83 and 200.07 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.93 : 464.83 = 200.07 : x
  2. Step 2: Convert to fraction form
    309.93/464.83 = 200.07/x
  3. Step 3: Cross multiply
    309.93x = 464.83 × 200.07
  4. Step 4: Simplify right side
    309.93x = 92,998.04
  5. Step 5: Solve for x
    x = 92,998.04/309.93
  6. Step 6: Final answer
    x = 300.06

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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.