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Finding the Fourth Proportional to 217.77, 324.60 and 206.01

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Solution

The fourth proportional to 217.77, 324.60 and 206.01 is: 307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.77 : 324.60 = 206.01 : x
  2. Step 2: Convert to fraction form
    217.77/324.60 = 206.01/x
  3. Step 3: Cross multiply
    217.77x = 324.60 × 206.01
  4. Step 4: Simplify right side
    217.77x = 66,870.85
  5. Step 5: Solve for x
    x = 66,870.85/217.77
  6. Step 6: Final answer
    x = 307.07

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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.