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Finding the Fourth Proportional to 188.72, 283.22 and 73.18

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Solution

The fourth proportional to 188.72, 283.22 and 73.18 is: 109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.72 : 283.22 = 73.18 : x
  2. Step 2: Convert to fraction form
    188.72/283.22 = 73.18/x
  3. Step 3: Cross multiply
    188.72x = 283.22 × 73.18
  4. Step 4: Simplify right side
    188.72x = 20,726.30
  5. Step 5: Solve for x
    x = 20,726.30/188.72
  6. Step 6: Final answer
    x = 109.83

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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.