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Finding the Fourth Proportional to 217.98, 324.93 and 214.64

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Solution

The fourth proportional to 217.98, 324.93 and 214.64 is: 319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.98 : 324.93 = 214.64 : x
  2. Step 2: Convert to fraction form
    217.98/324.93 = 214.64/x
  3. Step 3: Cross multiply
    217.98x = 324.93 × 214.64
  4. Step 4: Simplify right side
    217.98x = 69,741.35
  5. Step 5: Solve for x
    x = 69,741.35/217.98
  6. Step 6: Final answer
    x = 319.94

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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.