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Finding the Fourth Proportional to 183.95, 253.95 and 142.41

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Solution

The fourth proportional to 183.95, 253.95 and 142.41 is: 196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.95 : 253.95 = 142.41 : x
  2. Step 2: Convert to fraction form
    183.95/253.95 = 142.41/x
  3. Step 3: Cross multiply
    183.95x = 253.95 × 142.41
  4. Step 4: Simplify right side
    183.95x = 36,165.02
  5. Step 5: Solve for x
    x = 36,165.02/183.95
  6. Step 6: Final answer
    x = 196.61

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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.