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Finding the Fourth Proportional to 230.77, 345.75 and 192.03

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Solution

The fourth proportional to 230.77, 345.75 and 192.03 is: 287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.77 : 345.75 = 192.03 : x
  2. Step 2: Convert to fraction form
    230.77/345.75 = 192.03/x
  3. Step 3: Cross multiply
    230.77x = 345.75 × 192.03
  4. Step 4: Simplify right side
    230.77x = 66,394.37
  5. Step 5: Solve for x
    x = 66,394.37/230.77
  6. Step 6: Final answer
    x = 287.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.