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Finding the Fourth Proportional to 228.25, 343.96 and 190.59

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Solution

The fourth proportional to 228.25, 343.96 and 190.59 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.25 : 343.96 = 190.59 : x
  2. Step 2: Convert to fraction form
    228.25/343.96 = 190.59/x
  3. Step 3: Cross multiply
    228.25x = 343.96 × 190.59
  4. Step 4: Simplify right side
    228.25x = 65,555.34
  5. Step 5: Solve for x
    x = 65,555.34/228.25
  6. Step 6: Final answer
    x = 287.21

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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.