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Finding the Fourth Proportional to 192.75, 265.92 and 118.98

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Solution

The fourth proportional to 192.75, 265.92 and 118.98 is: 164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 265.92 = 118.98 : x
  2. Step 2: Convert to fraction form
    192.75/265.92 = 118.98/x
  3. Step 3: Cross multiply
    192.75x = 265.92 × 118.98
  4. Step 4: Simplify right side
    192.75x = 31,639.16
  5. Step 5: Solve for x
    x = 31,639.16/192.75
  6. Step 6: Final answer
    x = 164.15

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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.