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Finding the Fourth Proportional to 204.05, 303.81 and 201.17

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Solution

The fourth proportional to 204.05, 303.81 and 201.17 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.05 : 303.81 = 201.17 : x
  2. Step 2: Convert to fraction form
    204.05/303.81 = 201.17/x
  3. Step 3: Cross multiply
    204.05x = 303.81 × 201.17
  4. Step 4: Simplify right side
    204.05x = 61,117.46
  5. Step 5: Solve for x
    x = 61,117.46/204.05
  6. Step 6: Final answer
    x = 299.52

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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.