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Finding the Fourth Proportional to 208.63, 311.66 and 204.58

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Solution

The fourth proportional to 208.63, 311.66 and 204.58 is: 305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.63 : 311.66 = 204.58 : x
  2. Step 2: Convert to fraction form
    208.63/311.66 = 204.58/x
  3. Step 3: Cross multiply
    208.63x = 311.66 × 204.58
  4. Step 4: Simplify right side
    208.63x = 63,759.40
  5. Step 5: Solve for x
    x = 63,759.40/208.63
  6. Step 6: Final answer
    x = 305.61

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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.