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Finding the Fourth Proportional to 193.37, 288.50 and 192.00

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Solution

The fourth proportional to 193.37, 288.50 and 192.00 is: 286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.37 : 288.50 = 192.00 : x
  2. Step 2: Convert to fraction form
    193.37/288.50 = 192.00/x
  3. Step 3: Cross multiply
    193.37x = 288.50 × 192.00
  4. Step 4: Simplify right side
    193.37x = 55,392.12
  5. Step 5: Solve for x
    x = 55,392.12/193.37
  6. Step 6: Final answer
    x = 286.46

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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.