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Finding the Fourth Proportional to 190.16, 262.20 and 159.20

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Solution

The fourth proportional to 190.16, 262.20 and 159.20 is: 219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.16 : 262.20 = 159.20 : x
  2. Step 2: Convert to fraction form
    190.16/262.20 = 159.20/x
  3. Step 3: Cross multiply
    190.16x = 262.20 × 159.20
  4. Step 4: Simplify right side
    190.16x = 41,742.24
  5. Step 5: Solve for x
    x = 41,742.24/190.16
  6. Step 6: Final answer
    x = 219.51

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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.