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Finding the Fourth Proportional to 325.26, 486.90 and 228.78

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Solution

The fourth proportional to 325.26, 486.90 and 228.78 is: 342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.26 : 486.90 = 228.78 : x
  2. Step 2: Convert to fraction form
    325.26/486.90 = 228.78/x
  3. Step 3: Cross multiply
    325.26x = 486.90 × 228.78
  4. Step 4: Simplify right side
    325.26x = 111,392.98
  5. Step 5: Solve for x
    x = 111,392.98/325.26
  6. Step 6: Final answer
    x = 342.47

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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.