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Finding the Fourth Proportional to 324.32, 487.28 and 228.32

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Solution

The fourth proportional to 324.32, 487.28 and 228.32 is: 343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 487.28 = 228.32 : x
  2. Step 2: Convert to fraction form
    324.32/487.28 = 228.32/x
  3. Step 3: Cross multiply
    324.32x = 487.28 × 228.32
  4. Step 4: Simplify right side
    324.32x = 111,255.77
  5. Step 5: Solve for x
    x = 111,255.77/324.32
  6. Step 6: Final answer
    x = 343.04

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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.