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Finding the Fourth Proportional to 378.02, 564.22 and 325.73

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Solution

The fourth proportional to 378.02, 564.22 and 325.73 is: 486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 564.22 = 325.73 : x
  2. Step 2: Convert to fraction form
    378.02/564.22 = 325.73/x
  3. Step 3: Cross multiply
    378.02x = 564.22 × 325.73
  4. Step 4: Simplify right side
    378.02x = 183,783.98
  5. Step 5: Solve for x
    x = 183,783.98/378.02
  6. Step 6: Final answer
    x = 486.18

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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.