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Finding the Fourth Proportional to 217.74, 324.81 and 183.72

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Solution

The fourth proportional to 217.74, 324.81 and 183.72 is: 274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.74 : 324.81 = 183.72 : x
  2. Step 2: Convert to fraction form
    217.74/324.81 = 183.72/x
  3. Step 3: Cross multiply
    217.74x = 324.81 × 183.72
  4. Step 4: Simplify right side
    217.74x = 59,674.09
  5. Step 5: Solve for x
    x = 59,674.09/217.74
  6. Step 6: Final answer
    x = 274.06

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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.