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Finding the Fourth Proportional to 263.59, 394.74 and 133.25

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Solution

The fourth proportional to 263.59, 394.74 and 133.25 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.59 : 394.74 = 133.25 : x
  2. Step 2: Convert to fraction form
    263.59/394.74 = 133.25/x
  3. Step 3: Cross multiply
    263.59x = 394.74 × 133.25
  4. Step 4: Simplify right side
    263.59x = 52,597.13
  5. Step 5: Solve for x
    x = 52,597.13/263.59
  6. Step 6: Final answer
    x = 199.54

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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.