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Finding the Fourth Proportional to 377.38, 563.63 and 322.66

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Solution

The fourth proportional to 377.38, 563.63 and 322.66 is: 481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.38 : 563.63 = 322.66 : x
  2. Step 2: Convert to fraction form
    377.38/563.63 = 322.66/x
  3. Step 3: Cross multiply
    377.38x = 563.63 × 322.66
  4. Step 4: Simplify right side
    377.38x = 181,860.86
  5. Step 5: Solve for x
    x = 181,860.86/377.38
  6. Step 6: Final answer
    x = 481.90

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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.