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Finding the Fourth Proportional to 208.42, 286 and 189.86

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Solution

The fourth proportional to 208.42, 286 and 189.86 is: 260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.42 : 286 = 189.86 : x
  2. Step 2: Convert to fraction form
    208.42/286 = 189.86/x
  3. Step 3: Cross multiply
    208.42x = 286 × 189.86
  4. Step 4: Simplify right side
    208.42x = 54,299.96
  5. Step 5: Solve for x
    x = 54,299.96/208.42
  6. Step 6: Final answer
    x = 260.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.