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Finding the Fourth Proportional to 183.44, 253.04 and 109.72

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Solution

The fourth proportional to 183.44, 253.04 and 109.72 is: 151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.44 : 253.04 = 109.72 : x
  2. Step 2: Convert to fraction form
    183.44/253.04 = 109.72/x
  3. Step 3: Cross multiply
    183.44x = 253.04 × 109.72
  4. Step 4: Simplify right side
    183.44x = 27,763.55
  5. Step 5: Solve for x
    x = 27,763.55/183.44
  6. Step 6: Final answer
    x = 151.35

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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.