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Finding the Fourth Proportional to 228.01, 343.54 and 206.36

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Solution

The fourth proportional to 228.01, 343.54 and 206.36 is: 310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.01 : 343.54 = 206.36 : x
  2. Step 2: Convert to fraction form
    228.01/343.54 = 206.36/x
  3. Step 3: Cross multiply
    228.01x = 343.54 × 206.36
  4. Step 4: Simplify right side
    228.01x = 70,892.74
  5. Step 5: Solve for x
    x = 70,892.74/228.01
  6. Step 6: Final answer
    x = 310.93

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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.