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Finding the Fourth Proportional to 377.28, 565.86 and 120.78

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Solution

The fourth proportional to 377.28, 565.86 and 120.78 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.28 : 565.86 = 120.78 : x
  2. Step 2: Convert to fraction form
    377.28/565.86 = 120.78/x
  3. Step 3: Cross multiply
    377.28x = 565.86 × 120.78
  4. Step 4: Simplify right side
    377.28x = 68,344.57
  5. Step 5: Solve for x
    x = 68,344.57/377.28
  6. Step 6: Final answer
    x = 181.15

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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.