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Finding the Fourth Proportional to 233.22, 348.12 and 217.23

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Solution

The fourth proportional to 233.22, 348.12 and 217.23 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.22 : 348.12 = 217.23 : x
  2. Step 2: Convert to fraction form
    233.22/348.12 = 217.23/x
  3. Step 3: Cross multiply
    233.22x = 348.12 × 217.23
  4. Step 4: Simplify right side
    233.22x = 75,622.11
  5. Step 5: Solve for x
    x = 75,622.11/233.22
  6. Step 6: Final answer
    x = 324.25

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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.