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Finding the Fourth Proportional to 190.68, 262.64 and 146.47

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Solution

The fourth proportional to 190.68, 262.64 and 146.47 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 262.64 = 146.47 : x
  2. Step 2: Convert to fraction form
    190.68/262.64 = 146.47/x
  3. Step 3: Cross multiply
    190.68x = 262.64 × 146.47
  4. Step 4: Simplify right side
    190.68x = 38,468.88
  5. Step 5: Solve for x
    x = 38,468.88/190.68
  6. Step 6: Final answer
    x = 201.75

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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.