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Finding the Fourth Proportional to 190.74, 262.80 and 141.54

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Solution

The fourth proportional to 190.74, 262.80 and 141.54 is: 195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.74 : 262.80 = 141.54 : x
  2. Step 2: Convert to fraction form
    190.74/262.80 = 141.54/x
  3. Step 3: Cross multiply
    190.74x = 262.80 × 141.54
  4. Step 4: Simplify right side
    190.74x = 37,196.71
  5. Step 5: Solve for x
    x = 37,196.71/190.74
  6. Step 6: Final answer
    x = 195.01

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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.