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Finding the Fourth Proportional to 208.09, 310.27 and 204.45

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Solution

The fourth proportional to 208.09, 310.27 and 204.45 is: 304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.09 : 310.27 = 204.45 : x
  2. Step 2: Convert to fraction form
    208.09/310.27 = 204.45/x
  3. Step 3: Cross multiply
    208.09x = 310.27 × 204.45
  4. Step 4: Simplify right side
    208.09x = 63,434.70
  5. Step 5: Solve for x
    x = 63,434.70/208.09
  6. Step 6: Final answer
    x = 304.84

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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.