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Finding the Fourth Proportional to 378.24, 564.60 and 324.48

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Solution

The fourth proportional to 378.24, 564.60 and 324.48 is: 484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 564.60 = 324.48 : x
  2. Step 2: Convert to fraction form
    378.24/564.60 = 324.48/x
  3. Step 3: Cross multiply
    378.24x = 564.60 × 324.48
  4. Step 4: Simplify right side
    378.24x = 183,201.41
  5. Step 5: Solve for x
    x = 183,201.41/378.24
  6. Step 6: Final answer
    x = 484.35

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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.