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Finding the Fourth Proportional to 188.83, 281.75 and 166.05

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Solution

The fourth proportional to 188.83, 281.75 and 166.05 is: 247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.83 : 281.75 = 166.05 : x
  2. Step 2: Convert to fraction form
    188.83/281.75 = 166.05/x
  3. Step 3: Cross multiply
    188.83x = 281.75 × 166.05
  4. Step 4: Simplify right side
    188.83x = 46,783.76
  5. Step 5: Solve for x
    x = 46,783.76/188.83
  6. Step 6: Final answer
    x = 247.75

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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.