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Finding the Fourth Proportional to 263.06, 393.08 and 201.02

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Solution

The fourth proportional to 263.06, 393.08 and 201.02 is: 300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 393.08 = 201.02 : x
  2. Step 2: Convert to fraction form
    263.06/393.08 = 201.02/x
  3. Step 3: Cross multiply
    263.06x = 393.08 × 201.02
  4. Step 4: Simplify right side
    263.06x = 79,016.94
  5. Step 5: Solve for x
    x = 79,016.94/263.06
  6. Step 6: Final answer
    x = 300.38

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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.