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Finding the Fourth Proportional to 228.18, 343.80 and 206.54

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Solution

The fourth proportional to 228.18, 343.80 and 206.54 is: 311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.18 : 343.80 = 206.54 : x
  2. Step 2: Convert to fraction form
    228.18/343.80 = 206.54/x
  3. Step 3: Cross multiply
    228.18x = 343.80 × 206.54
  4. Step 4: Simplify right side
    228.18x = 71,005.70
  5. Step 5: Solve for x
    x = 71,005.70/228.18
  6. Step 6: Final answer
    x = 311.18

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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.