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Finding the Fourth Proportional to 216.51, 324.81 and 192.41

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Solution

The fourth proportional to 216.51, 324.81 and 192.41 is: 288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.51 : 324.81 = 192.41 : x
  2. Step 2: Convert to fraction form
    216.51/324.81 = 192.41/x
  3. Step 3: Cross multiply
    216.51x = 324.81 × 192.41
  4. Step 4: Simplify right side
    216.51x = 62,496.29
  5. Step 5: Solve for x
    x = 62,496.29/216.51
  6. Step 6: Final answer
    x = 288.66

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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.