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Finding the Fourth Proportional to 228.68, 344.69 and 208.17

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Solution

The fourth proportional to 228.68, 344.69 and 208.17 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.68 : 344.69 = 208.17 : x
  2. Step 2: Convert to fraction form
    228.68/344.69 = 208.17/x
  3. Step 3: Cross multiply
    228.68x = 344.69 × 208.17
  4. Step 4: Simplify right side
    228.68x = 71,754.12
  5. Step 5: Solve for x
    x = 71,754.12/228.68
  6. Step 6: Final answer
    x = 313.78

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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.