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Finding the Fourth Proportional to 188.36, 261.74 and 186.38

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Solution

The fourth proportional to 188.36, 261.74 and 186.38 is: 258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.36 : 261.74 = 186.38 : x
  2. Step 2: Convert to fraction form
    188.36/261.74 = 186.38/x
  3. Step 3: Cross multiply
    188.36x = 261.74 × 186.38
  4. Step 4: Simplify right side
    188.36x = 48,783.10
  5. Step 5: Solve for x
    x = 48,783.10/188.36
  6. Step 6: Final answer
    x = 258.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.