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Finding the Fourth Proportional to 379.52, 566.46 and 327.24

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Solution

The fourth proportional to 379.52, 566.46 and 327.24 is: 488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.52 : 566.46 = 327.24 : x
  2. Step 2: Convert to fraction form
    379.52/566.46 = 327.24/x
  3. Step 3: Cross multiply
    379.52x = 566.46 × 327.24
  4. Step 4: Simplify right side
    379.52x = 185,368.37
  5. Step 5: Solve for x
    x = 185,368.37/379.52
  6. Step 6: Final answer
    x = 488.43

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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.