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Finding the Fourth Proportional to 263.15, 394.11 and 201.81

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Solution

The fourth proportional to 263.15, 394.11 and 201.81 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.15 : 394.11 = 201.81 : x
  2. Step 2: Convert to fraction form
    263.15/394.11 = 201.81/x
  3. Step 3: Cross multiply
    263.15x = 394.11 × 201.81
  4. Step 4: Simplify right side
    263.15x = 79,535.34
  5. Step 5: Solve for x
    x = 79,535.34/263.15
  6. Step 6: Final answer
    x = 302.25

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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.