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Finding the Fourth Proportional to 377.91, 566.78 and 134.46

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Solution

The fourth proportional to 377.91, 566.78 and 134.46 is: 201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.91 : 566.78 = 134.46 : x
  2. Step 2: Convert to fraction form
    377.91/566.78 = 134.46/x
  3. Step 3: Cross multiply
    377.91x = 566.78 × 134.46
  4. Step 4: Simplify right side
    377.91x = 76,208.57
  5. Step 5: Solve for x
    x = 76,208.57/377.91
  6. Step 6: Final answer
    x = 201.66

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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.