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Finding the Fourth Proportional to 192.05, 266.14 and 188.40

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Solution

The fourth proportional to 192.05, 266.14 and 188.40 is: 261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.05 : 266.14 = 188.40 : x
  2. Step 2: Convert to fraction form
    192.05/266.14 = 188.40/x
  3. Step 3: Cross multiply
    192.05x = 266.14 × 188.40
  4. Step 4: Simplify right side
    192.05x = 50,142.01
  5. Step 5: Solve for x
    x = 50,142.01/192.05
  6. Step 6: Final answer
    x = 261.09

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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.