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Finding the Fourth Proportional to 216.27, 322.89 and 164.63

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Solution

The fourth proportional to 216.27, 322.89 and 164.63 is: 245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.27 : 322.89 = 164.63 : x
  2. Step 2: Convert to fraction form
    216.27/322.89 = 164.63/x
  3. Step 3: Cross multiply
    216.27x = 322.89 × 164.63
  4. Step 4: Simplify right side
    216.27x = 53,157.57
  5. Step 5: Solve for x
    x = 53,157.57/216.27
  6. Step 6: Final answer
    x = 245.79

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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.