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Finding the Fourth Proportional to 385.04, 574.23 and 327.63

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Solution

The fourth proportional to 385.04, 574.23 and 327.63 is: 488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.04 : 574.23 = 327.63 : x
  2. Step 2: Convert to fraction form
    385.04/574.23 = 327.63/x
  3. Step 3: Cross multiply
    385.04x = 574.23 × 327.63
  4. Step 4: Simplify right side
    385.04x = 188,134.97
  5. Step 5: Solve for x
    x = 188,134.97/385.04
  6. Step 6: Final answer
    x = 488.61

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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.