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Finding the Fourth Proportional to 188.78, 283.08 and 80.51

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Solution

The fourth proportional to 188.78, 283.08 and 80.51 is: 120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.78 : 283.08 = 80.51 : x
  2. Step 2: Convert to fraction form
    188.78/283.08 = 80.51/x
  3. Step 3: Cross multiply
    188.78x = 283.08 × 80.51
  4. Step 4: Simplify right side
    188.78x = 22,790.77
  5. Step 5: Solve for x
    x = 22,790.77/188.78
  6. Step 6: Final answer
    x = 120.73

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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.