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Finding the Fourth Proportional to 190.67, 262.91 and 151.39

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Solution

The fourth proportional to 190.67, 262.91 and 151.39 is: 208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.67 : 262.91 = 151.39 : x
  2. Step 2: Convert to fraction form
    190.67/262.91 = 151.39/x
  3. Step 3: Cross multiply
    190.67x = 262.91 × 151.39
  4. Step 4: Simplify right side
    190.67x = 39,801.17
  5. Step 5: Solve for x
    x = 39,801.17/190.67
  6. Step 6: Final answer
    x = 208.74

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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.