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Finding the Fourth Proportional to 203.43, 303.81 and 201.31

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Solution

The fourth proportional to 203.43, 303.81 and 201.31 is: 300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.43 : 303.81 = 201.31 : x
  2. Step 2: Convert to fraction form
    203.43/303.81 = 201.31/x
  3. Step 3: Cross multiply
    203.43x = 303.81 × 201.31
  4. Step 4: Simplify right side
    203.43x = 61,159.99
  5. Step 5: Solve for x
    x = 61,159.99/203.43
  6. Step 6: Final answer
    x = 300.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.