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Finding the Fourth Proportional to 263.48, 363.34 and 201.30

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Solution

The fourth proportional to 263.48, 363.34 and 201.30 is: 277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.48 : 363.34 = 201.30 : x
  2. Step 2: Convert to fraction form
    263.48/363.34 = 201.30/x
  3. Step 3: Cross multiply
    263.48x = 363.34 × 201.30
  4. Step 4: Simplify right side
    263.48x = 73,140.34
  5. Step 5: Solve for x
    x = 73,140.34/263.48
  6. Step 6: Final answer
    x = 277.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.