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Finding the Fourth Proportional to 190.14, 283.55 and 169.13

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Solution

The fourth proportional to 190.14, 283.55 and 169.13 is: 252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.14 : 283.55 = 169.13 : x
  2. Step 2: Convert to fraction form
    190.14/283.55 = 169.13/x
  3. Step 3: Cross multiply
    190.14x = 283.55 × 169.13
  4. Step 4: Simplify right side
    190.14x = 47,956.67
  5. Step 5: Solve for x
    x = 47,956.67/190.14
  6. Step 6: Final answer
    x = 252.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.