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Finding the Fourth Proportional to 233.20, 348.11 and 216.31

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Solution

The fourth proportional to 233.20, 348.11 and 216.31 is: 322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 348.11 = 216.31 : x
  2. Step 2: Convert to fraction form
    233.20/348.11 = 216.31/x
  3. Step 3: Cross multiply
    233.20x = 348.11 × 216.31
  4. Step 4: Simplify right side
    233.20x = 75,299.67
  5. Step 5: Solve for x
    x = 75,299.67/233.20
  6. Step 6: Final answer
    x = 322.90

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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.