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Finding the Fourth Proportional to 379.24, 566.09 and 325.48

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Solution

The fourth proportional to 379.24, 566.09 and 325.48 is: 485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.24 : 566.09 = 325.48 : x
  2. Step 2: Convert to fraction form
    379.24/566.09 = 325.48/x
  3. Step 3: Cross multiply
    379.24x = 566.09 × 325.48
  4. Step 4: Simplify right side
    379.24x = 184,250.97
  5. Step 5: Solve for x
    x = 184,250.97/379.24
  6. Step 6: Final answer
    x = 485.84

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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.