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Finding the Fourth Proportional to 228.64, 344.20 and 208.80

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Solution

The fourth proportional to 228.64, 344.20 and 208.80 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.64 : 344.20 = 208.80 : x
  2. Step 2: Convert to fraction form
    228.64/344.20 = 208.80/x
  3. Step 3: Cross multiply
    228.64x = 344.20 × 208.80
  4. Step 4: Simplify right side
    228.64x = 71,868.96
  5. Step 5: Solve for x
    x = 71,868.96/228.64
  6. Step 6: Final answer
    x = 314.33

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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.