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Finding the Fourth Proportional to 208.82, 314.82 and 189.23

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Solution

The fourth proportional to 208.82, 314.82 and 189.23 is: 285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 314.82 = 189.23 : x
  2. Step 2: Convert to fraction form
    208.82/314.82 = 189.23/x
  3. Step 3: Cross multiply
    208.82x = 314.82 × 189.23
  4. Step 4: Simplify right side
    208.82x = 59,571.81
  5. Step 5: Solve for x
    x = 59,571.81/208.82
  6. Step 6: Final answer
    x = 285.29

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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.