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Finding the Fourth Proportional to 190.23, 263.75 and 187.93

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Solution

The fourth proportional to 190.23, 263.75 and 187.93 is: 260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.23 : 263.75 = 187.93 : x
  2. Step 2: Convert to fraction form
    190.23/263.75 = 187.93/x
  3. Step 3: Cross multiply
    190.23x = 263.75 × 187.93
  4. Step 4: Simplify right side
    190.23x = 49,566.54
  5. Step 5: Solve for x
    x = 49,566.54/190.23
  6. Step 6: Final answer
    x = 260.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.