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Finding the Fourth Proportional to 217.44, 324.70 and 190.08

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Solution

The fourth proportional to 217.44, 324.70 and 190.08 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.44 : 324.70 = 190.08 : x
  2. Step 2: Convert to fraction form
    217.44/324.70 = 190.08/x
  3. Step 3: Cross multiply
    217.44x = 324.70 × 190.08
  4. Step 4: Simplify right side
    217.44x = 61,718.50
  5. Step 5: Solve for x
    x = 61,718.50/217.44
  6. Step 6: Final answer
    x = 283.84

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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.