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Finding the Fourth Proportional to 190.92, 262.58 and 154

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Solution

The fourth proportional to 190.92, 262.58 and 154 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.92 : 262.58 = 154 : x
  2. Step 2: Convert to fraction form
    190.92/262.58 = 154/x
  3. Step 3: Cross multiply
    190.92x = 262.58 × 154
  4. Step 4: Simplify right side
    190.92x = 40,437.32
  5. Step 5: Solve for x
    x = 40,437.32/190.92
  6. Step 6: Final answer
    x = 211.80

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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.