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Finding the Fourth Proportional to 188.18, 283.94 and 182.12

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Solution

The fourth proportional to 188.18, 283.94 and 182.12 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.18 : 283.94 = 182.12 : x
  2. Step 2: Convert to fraction form
    188.18/283.94 = 182.12/x
  3. Step 3: Cross multiply
    188.18x = 283.94 × 182.12
  4. Step 4: Simplify right side
    188.18x = 51,711.15
  5. Step 5: Solve for x
    x = 51,711.15/188.18
  6. Step 6: Final answer
    x = 274.80

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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.