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Finding the Fourth Proportional to 188.66, 282.86 and 85.90

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Solution

The fourth proportional to 188.66, 282.86 and 85.90 is: 128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.66 : 282.86 = 85.90 : x
  2. Step 2: Convert to fraction form
    188.66/282.86 = 85.90/x
  3. Step 3: Cross multiply
    188.66x = 282.86 × 85.90
  4. Step 4: Simplify right side
    188.66x = 24,295.83
  5. Step 5: Solve for x
    x = 24,295.83/188.66
  6. Step 6: Final answer
    x = 128.78

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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.