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Finding the Fourth Proportional to 379.12, 566.16 and 332.48

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Solution

The fourth proportional to 379.12, 566.16 and 332.48 is: 496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.12 : 566.16 = 332.48 : x
  2. Step 2: Convert to fraction form
    379.12/566.16 = 332.48/x
  3. Step 3: Cross multiply
    379.12x = 566.16 × 332.48
  4. Step 4: Simplify right side
    379.12x = 188,236.88
  5. Step 5: Solve for x
    x = 188,236.88/379.12
  6. Step 6: Final answer
    x = 496.51

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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.