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Finding the Fourth Proportional to 190.33, 262.54 and 153.58

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Solution

The fourth proportional to 190.33, 262.54 and 153.58 is: 211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.33 : 262.54 = 153.58 : x
  2. Step 2: Convert to fraction form
    190.33/262.54 = 153.58/x
  3. Step 3: Cross multiply
    190.33x = 262.54 × 153.58
  4. Step 4: Simplify right side
    190.33x = 40,320.92
  5. Step 5: Solve for x
    x = 40,320.92/190.33
  6. Step 6: Final answer
    x = 211.84

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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.