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Finding the Fourth Proportional to 192.08, 265.20 and 150.80

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Solution

The fourth proportional to 192.08, 265.20 and 150.80 is: 208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.08 : 265.20 = 150.80 : x
  2. Step 2: Convert to fraction form
    192.08/265.20 = 150.80/x
  3. Step 3: Cross multiply
    192.08x = 265.20 × 150.80
  4. Step 4: Simplify right side
    192.08x = 39,992.16
  5. Step 5: Solve for x
    x = 39,992.16/192.08
  6. Step 6: Final answer
    x = 208.21

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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.