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Finding the Fourth Proportional to 228.75, 345.21 and 227.36

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Solution

The fourth proportional to 228.75, 345.21 and 227.36 is: 343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.75 : 345.21 = 227.36 : x
  2. Step 2: Convert to fraction form
    228.75/345.21 = 227.36/x
  3. Step 3: Cross multiply
    228.75x = 345.21 × 227.36
  4. Step 4: Simplify right side
    228.75x = 78,485.22
  5. Step 5: Solve for x
    x = 78,485.22/228.75
  6. Step 6: Final answer
    x = 343.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.