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Finding the Fourth Proportional to 183.66, 274.06 and 172.01

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Solution

The fourth proportional to 183.66, 274.06 and 172.01 is: 256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 274.06 = 172.01 : x
  2. Step 2: Convert to fraction form
    183.66/274.06 = 172.01/x
  3. Step 3: Cross multiply
    183.66x = 274.06 × 172.01
  4. Step 4: Simplify right side
    183.66x = 47,141.06
  5. Step 5: Solve for x
    x = 47,141.06/183.66
  6. Step 6: Final answer
    x = 256.68

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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.