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Finding the Fourth Proportional to 190.23, 262.76 and 157.16

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Solution

The fourth proportional to 190.23, 262.76 and 157.16 is: 217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.23 : 262.76 = 157.16 : x
  2. Step 2: Convert to fraction form
    190.23/262.76 = 157.16/x
  3. Step 3: Cross multiply
    190.23x = 262.76 × 157.16
  4. Step 4: Simplify right side
    190.23x = 41,293.26
  5. Step 5: Solve for x
    x = 41,293.26/190.23
  6. Step 6: Final answer
    x = 217.07

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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.