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Finding the Fourth Proportional to 190.81, 263.06 and 143.35

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Solution

The fourth proportional to 190.81, 263.06 and 143.35 is: 197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.81 : 263.06 = 143.35 : x
  2. Step 2: Convert to fraction form
    190.81/263.06 = 143.35/x
  3. Step 3: Cross multiply
    190.81x = 263.06 × 143.35
  4. Step 4: Simplify right side
    190.81x = 37,708.34
  5. Step 5: Solve for x
    x = 37,708.34/190.81
  6. Step 6: Final answer
    x = 197.62

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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.