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Finding the Fourth Proportional to 325.46, 488.33 and 222.68

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Solution

The fourth proportional to 325.46, 488.33 and 222.68 is: 334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.46 : 488.33 = 222.68 : x
  2. Step 2: Convert to fraction form
    325.46/488.33 = 222.68/x
  3. Step 3: Cross multiply
    325.46x = 488.33 × 222.68
  4. Step 4: Simplify right side
    325.46x = 108,741.32
  5. Step 5: Solve for x
    x = 108,741.32/325.46
  6. Step 6: Final answer
    x = 334.12

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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.