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Finding the Fourth Proportional to 190.96, 262.13 and 180.16

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Solution

The fourth proportional to 190.96, 262.13 and 180.16 is: 247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.96 : 262.13 = 180.16 : x
  2. Step 2: Convert to fraction form
    190.96/262.13 = 180.16/x
  3. Step 3: Cross multiply
    190.96x = 262.13 × 180.16
  4. Step 4: Simplify right side
    190.96x = 47,225.34
  5. Step 5: Solve for x
    x = 47,225.34/190.96
  6. Step 6: Final answer
    x = 247.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.