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Finding the Fourth Proportional to 190.10, 263.44 and 186.45

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Solution

The fourth proportional to 190.10, 263.44 and 186.45 is: 258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.10 : 263.44 = 186.45 : x
  2. Step 2: Convert to fraction form
    190.10/263.44 = 186.45/x
  3. Step 3: Cross multiply
    190.10x = 263.44 × 186.45
  4. Step 4: Simplify right side
    190.10x = 49,118.39
  5. Step 5: Solve for x
    x = 49,118.39/190.10
  6. Step 6: Final answer
    x = 258.38

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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.