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Finding the Fourth Proportional to 192.86, 266.04 and 119.14

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Solution

The fourth proportional to 192.86, 266.04 and 119.14 is: 164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.86 : 266.04 = 119.14 : x
  2. Step 2: Convert to fraction form
    192.86/266.04 = 119.14/x
  3. Step 3: Cross multiply
    192.86x = 266.04 × 119.14
  4. Step 4: Simplify right side
    192.86x = 31,696.01
  5. Step 5: Solve for x
    x = 31,696.01/192.86
  6. Step 6: Final answer
    x = 164.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.