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Finding the Fourth Proportional to 296.05, 443.95 and 133.69

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Solution

The fourth proportional to 296.05, 443.95 and 133.69 is: 200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.05 : 443.95 = 133.69 : x
  2. Step 2: Convert to fraction form
    296.05/443.95 = 133.69/x
  3. Step 3: Cross multiply
    296.05x = 443.95 × 133.69
  4. Step 4: Simplify right side
    296.05x = 59,351.68
  5. Step 5: Solve for x
    x = 59,351.68/296.05
  6. Step 6: Final answer
    x = 200.48

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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.