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Finding the Fourth Proportional to 188.33, 280.26 and 186.30

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Solution

The fourth proportional to 188.33, 280.26 and 186.30 is: 277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.33 : 280.26 = 186.30 : x
  2. Step 2: Convert to fraction form
    188.33/280.26 = 186.30/x
  3. Step 3: Cross multiply
    188.33x = 280.26 × 186.30
  4. Step 4: Simplify right side
    188.33x = 52,212.44
  5. Step 5: Solve for x
    x = 52,212.44/188.33
  6. Step 6: Final answer
    x = 277.25

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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.