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Finding the Fourth Proportional to 183.88, 253.78 and 106.30

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Solution

The fourth proportional to 183.88, 253.78 and 106.30 is: 146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.88 : 253.78 = 106.30 : x
  2. Step 2: Convert to fraction form
    183.88/253.78 = 106.30/x
  3. Step 3: Cross multiply
    183.88x = 253.78 × 106.30
  4. Step 4: Simplify right side
    183.88x = 26,975.55
  5. Step 5: Solve for x
    x = 26,975.55/183.88
  6. Step 6: Final answer
    x = 146.71

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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.