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Finding the Fourth Proportional to 189.26, 282.03 and 188.36

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Solution

The fourth proportional to 189.26, 282.03 and 188.36 is: 280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.26 : 282.03 = 188.36 : x
  2. Step 2: Convert to fraction form
    189.26/282.03 = 188.36/x
  3. Step 3: Cross multiply
    189.26x = 282.03 × 188.36
  4. Step 4: Simplify right side
    189.26x = 53,121.76
  5. Step 5: Solve for x
    x = 53,121.76/189.26
  6. Step 6: Final answer
    x = 280.69

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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.