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Finding the Fourth Proportional to 208.98, 311.76 and 204.12

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Solution

The fourth proportional to 208.98, 311.76 and 204.12 is: 304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.98 : 311.76 = 204.12 : x
  2. Step 2: Convert to fraction form
    208.98/311.76 = 204.12/x
  3. Step 3: Cross multiply
    208.98x = 311.76 × 204.12
  4. Step 4: Simplify right side
    208.98x = 63,636.45
  5. Step 5: Solve for x
    x = 63,636.45/208.98
  6. Step 6: Final answer
    x = 304.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.