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Finding the Fourth Proportional to 228.53, 344.46 and 188.43

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Solution

The fourth proportional to 228.53, 344.46 and 188.43 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.53 : 344.46 = 188.43 : x
  2. Step 2: Convert to fraction form
    228.53/344.46 = 188.43/x
  3. Step 3: Cross multiply
    228.53x = 344.46 × 188.43
  4. Step 4: Simplify right side
    228.53x = 64,906.60
  5. Step 5: Solve for x
    x = 64,906.60/228.53
  6. Step 6: Final answer
    x = 284.02

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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.