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Finding the Fourth Proportional to 216.08, 323.76 and 164.96

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Solution

The fourth proportional to 216.08, 323.76 and 164.96 is: 247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 323.76 = 164.96 : x
  2. Step 2: Convert to fraction form
    216.08/323.76 = 164.96/x
  3. Step 3: Cross multiply
    216.08x = 323.76 × 164.96
  4. Step 4: Simplify right side
    216.08x = 53,407.45
  5. Step 5: Solve for x
    x = 53,407.45/216.08
  6. Step 6: Final answer
    x = 247.17

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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.