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Finding the Fourth Proportional to 183.95, 275.93 and 81.21

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Solution

The fourth proportional to 183.95, 275.93 and 81.21 is: 121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.95 : 275.93 = 81.21 : x
  2. Step 2: Convert to fraction form
    183.95/275.93 = 81.21/x
  3. Step 3: Cross multiply
    183.95x = 275.93 × 81.21
  4. Step 4: Simplify right side
    183.95x = 22,408.07
  5. Step 5: Solve for x
    x = 22,408.07/183.95
  6. Step 6: Final answer
    x = 121.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.