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Finding the Fourth Proportional to 192.90, 266.12 and 119.16

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Solution

The fourth proportional to 192.90, 266.12 and 119.16 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.90 : 266.12 = 119.16 : x
  2. Step 2: Convert to fraction form
    192.90/266.12 = 119.16/x
  3. Step 3: Cross multiply
    192.90x = 266.12 × 119.16
  4. Step 4: Simplify right side
    192.90x = 31,710.86
  5. Step 5: Solve for x
    x = 31,710.86/192.90
  6. Step 6: Final answer
    x = 164.39

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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.