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Finding the Fourth Proportional to 190.59, 262.86 and 175.09

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Solution

The fourth proportional to 190.59, 262.86 and 175.09 is: 241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.59 : 262.86 = 175.09 : x
  2. Step 2: Convert to fraction form
    190.59/262.86 = 175.09/x
  3. Step 3: Cross multiply
    190.59x = 262.86 × 175.09
  4. Step 4: Simplify right side
    190.59x = 46,024.16
  5. Step 5: Solve for x
    x = 46,024.16/190.59
  6. Step 6: Final answer
    x = 241.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.