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Finding the Fourth Proportional to 183.81, 274.26 and 172.80

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Solution

The fourth proportional to 183.81, 274.26 and 172.80 is: 257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.81 : 274.26 = 172.80 : x
  2. Step 2: Convert to fraction form
    183.81/274.26 = 172.80/x
  3. Step 3: Cross multiply
    183.81x = 274.26 × 172.80
  4. Step 4: Simplify right side
    183.81x = 47,392.13
  5. Step 5: Solve for x
    x = 47,392.13/183.81
  6. Step 6: Final answer
    x = 257.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.