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Finding the Fourth Proportional to 377.68, 563.78 and 326.65

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Solution

The fourth proportional to 377.68, 563.78 and 326.65 is: 487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.68 : 563.78 = 326.65 : x
  2. Step 2: Convert to fraction form
    377.68/563.78 = 326.65/x
  3. Step 3: Cross multiply
    377.68x = 563.78 × 326.65
  4. Step 4: Simplify right side
    377.68x = 184,158.74
  5. Step 5: Solve for x
    x = 184,158.74/377.68
  6. Step 6: Final answer
    x = 487.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.