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Finding the Fourth Proportional to 183.99, 253.91 and 101.09

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Solution

The fourth proportional to 183.99, 253.91 and 101.09 is: 139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.99 : 253.91 = 101.09 : x
  2. Step 2: Convert to fraction form
    183.99/253.91 = 101.09/x
  3. Step 3: Cross multiply
    183.99x = 253.91 × 101.09
  4. Step 4: Simplify right side
    183.99x = 25,667.13
  5. Step 5: Solve for x
    x = 25,667.13/183.99
  6. Step 6: Final answer
    x = 139.51

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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.