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Finding the Fourth Proportional to 192.08, 286.72 and 177.80

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Solution

The fourth proportional to 192.08, 286.72 and 177.80 is: 265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.08 : 286.72 = 177.80 : x
  2. Step 2: Convert to fraction form
    192.08/286.72 = 177.80/x
  3. Step 3: Cross multiply
    192.08x = 286.72 × 177.80
  4. Step 4: Simplify right side
    192.08x = 50,978.40
  5. Step 5: Solve for x
    x = 50,978.40/192.08
  6. Step 6: Final answer
    x = 265.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.