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Finding the Fourth Proportional to 230.22, 343.80 and 216.72

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Solution

The fourth proportional to 230.22, 343.80 and 216.72 is: 323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.22 : 343.80 = 216.72 : x
  2. Step 2: Convert to fraction form
    230.22/343.80 = 216.72/x
  3. Step 3: Cross multiply
    230.22x = 343.80 × 216.72
  4. Step 4: Simplify right side
    230.22x = 74,508.34
  5. Step 5: Solve for x
    x = 74,508.34/230.22
  6. Step 6: Final answer
    x = 323.64

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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.