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Finding the Fourth Proportional to 377.22, 565.95 and 120.78

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Solution

The fourth proportional to 377.22, 565.95 and 120.78 is: 181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.22 : 565.95 = 120.78 : x
  2. Step 2: Convert to fraction form
    377.22/565.95 = 120.78/x
  3. Step 3: Cross multiply
    377.22x = 565.95 × 120.78
  4. Step 4: Simplify right side
    377.22x = 68,355.44
  5. Step 5: Solve for x
    x = 68,355.44/377.22
  6. Step 6: Final answer
    x = 181.21

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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.