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Finding the Fourth Proportional to 192.52, 286.70 and 180.84

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Solution

The fourth proportional to 192.52, 286.70 and 180.84 is: 269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.52 : 286.70 = 180.84 : x
  2. Step 2: Convert to fraction form
    192.52/286.70 = 180.84/x
  3. Step 3: Cross multiply
    192.52x = 286.70 × 180.84
  4. Step 4: Simplify right side
    192.52x = 51,846.83
  5. Step 5: Solve for x
    x = 51,846.83/192.52
  6. Step 6: Final answer
    x = 269.31

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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.