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Finding the Fourth Proportional to 188.71, 283.15 and 111.82

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Solution

The fourth proportional to 188.71, 283.15 and 111.82 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.71 : 283.15 = 111.82 : x
  2. Step 2: Convert to fraction form
    188.71/283.15 = 111.82/x
  3. Step 3: Cross multiply
    188.71x = 283.15 × 111.82
  4. Step 4: Simplify right side
    188.71x = 31,662.26
  5. Step 5: Solve for x
    x = 31,662.26/188.71
  6. Step 6: Final answer
    x = 167.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.