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Finding the Fourth Proportional to 190.07, 263.35 and 185.97

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Solution

The fourth proportional to 190.07, 263.35 and 185.97 is: 257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.07 : 263.35 = 185.97 : x
  2. Step 2: Convert to fraction form
    190.07/263.35 = 185.97/x
  3. Step 3: Cross multiply
    190.07x = 263.35 × 185.97
  4. Step 4: Simplify right side
    190.07x = 48,973.75
  5. Step 5: Solve for x
    x = 48,973.75/190.07
  6. Step 6: Final answer
    x = 257.66

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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.