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Finding the Fourth Proportional to 183.93, 253.66 and 144.54

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Solution

The fourth proportional to 183.93, 253.66 and 144.54 is: 199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.93 : 253.66 = 144.54 : x
  2. Step 2: Convert to fraction form
    183.93/253.66 = 144.54/x
  3. Step 3: Cross multiply
    183.93x = 253.66 × 144.54
  4. Step 4: Simplify right side
    183.93x = 36,664.02
  5. Step 5: Solve for x
    x = 36,664.02/183.93
  6. Step 6: Final answer
    x = 199.34

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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.