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Finding the Fourth Proportional to 263, 394.64 and 134.76

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Solution

The fourth proportional to 263, 394.64 and 134.76 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263 : 394.64 = 134.76 : x
  2. Step 2: Convert to fraction form
    263/394.64 = 134.76/x
  3. Step 3: Cross multiply
    263x = 394.64 × 134.76
  4. Step 4: Simplify right side
    263x = 53,181.69
  5. Step 5: Solve for x
    x = 53,181.69/263
  6. Step 6: Final answer
    x = 202.21

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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.