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Finding the Fourth Proportional to 204.56, 304.58 and 201.48

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Solution

The fourth proportional to 204.56, 304.58 and 201.48 is: 299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 304.58 = 201.48 : x
  2. Step 2: Convert to fraction form
    204.56/304.58 = 201.48/x
  3. Step 3: Cross multiply
    204.56x = 304.58 × 201.48
  4. Step 4: Simplify right side
    204.56x = 61,366.78
  5. Step 5: Solve for x
    x = 61,366.78/204.56
  6. Step 6: Final answer
    x = 299.99

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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.