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Finding the Fourth Proportional to 217.06, 324.86 and 186.38

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Solution

The fourth proportional to 217.06, 324.86 and 186.38 is: 278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.06 : 324.86 = 186.38 : x
  2. Step 2: Convert to fraction form
    217.06/324.86 = 186.38/x
  3. Step 3: Cross multiply
    217.06x = 324.86 × 186.38
  4. Step 4: Simplify right side
    217.06x = 60,547.41
  5. Step 5: Solve for x
    x = 60,547.41/217.06
  6. Step 6: Final answer
    x = 278.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.