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Finding the Fourth Proportional to 188.64, 258.62 and 183.60

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Solution

The fourth proportional to 188.64, 258.62 and 183.60 is: 251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.64 : 258.62 = 183.60 : x
  2. Step 2: Convert to fraction form
    188.64/258.62 = 183.60/x
  3. Step 3: Cross multiply
    188.64x = 258.62 × 183.60
  4. Step 4: Simplify right side
    188.64x = 47,481.71
  5. Step 5: Solve for x
    x = 47,481.71/188.64
  6. Step 6: Final answer
    x = 251.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.