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Finding the Fourth Proportional to 324.81, 487.62 and 216.27

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Solution

The fourth proportional to 324.81, 487.62 and 216.27 is: 324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.81 : 487.62 = 216.27 : x
  2. Step 2: Convert to fraction form
    324.81/487.62 = 216.27/x
  3. Step 3: Cross multiply
    324.81x = 487.62 × 216.27
  4. Step 4: Simplify right side
    324.81x = 105,457.58
  5. Step 5: Solve for x
    x = 105,457.58/324.81
  6. Step 6: Final answer
    x = 324.67

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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.