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Finding the Fourth Proportional to 324.32, 485.76 and 228.20

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Solution

The fourth proportional to 324.32, 485.76 and 228.20 is: 341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 485.76 = 228.20 : x
  2. Step 2: Convert to fraction form
    324.32/485.76 = 228.20/x
  3. Step 3: Cross multiply
    324.32x = 485.76 × 228.20
  4. Step 4: Simplify right side
    324.32x = 110,850.43
  5. Step 5: Solve for x
    x = 110,850.43/324.32
  6. Step 6: Final answer
    x = 341.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.