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Finding the Fourth Proportional to 137.93, 191.29 and 133.07

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Solution

The fourth proportional to 137.93, 191.29 and 133.07 is: 184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.93 : 191.29 = 133.07 : x
  2. Step 2: Convert to fraction form
    137.93/191.29 = 133.07/x
  3. Step 3: Cross multiply
    137.93x = 191.29 × 133.07
  4. Step 4: Simplify right side
    137.93x = 25,454.96
  5. Step 5: Solve for x
    x = 25,454.96/137.93
  6. Step 6: Final answer
    x = 184.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.