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Finding the Fourth Proportional to 377.27, 566.00 and 157.78

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Solution

The fourth proportional to 377.27, 566.00 and 157.78 is: 236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.27 : 566.00 = 157.78 : x
  2. Step 2: Convert to fraction form
    377.27/566.00 = 157.78/x
  3. Step 3: Cross multiply
    377.27x = 566.00 × 157.78
  4. Step 4: Simplify right side
    377.27x = 89,302.91
  5. Step 5: Solve for x
    x = 89,302.91/377.27
  6. Step 6: Final answer
    x = 236.71

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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.