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Finding the Fourth Proportional to 397.46, 596.28 and 133.94

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Solution

The fourth proportional to 397.46, 596.28 and 133.94 is: 200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.46 : 596.28 = 133.94 : x
  2. Step 2: Convert to fraction form
    397.46/596.28 = 133.94/x
  3. Step 3: Cross multiply
    397.46x = 596.28 × 133.94
  4. Step 4: Simplify right side
    397.46x = 79,865.74
  5. Step 5: Solve for x
    x = 79,865.74/397.46
  6. Step 6: Final answer
    x = 200.94

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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.