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Finding the Fourth Proportional to 331.30, 484.67 and 331.30

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Solution

The fourth proportional to 331.30, 484.67 and 331.30 is: 484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.30 : 484.67 = 331.30 : x
  2. Step 2: Convert to fraction form
    331.30/484.67 = 331.30/x
  3. Step 3: Cross multiply
    331.30x = 484.67 × 331.30
  4. Step 4: Simplify right side
    331.30x = 160,571.17
  5. Step 5: Solve for x
    x = 160,571.17/331.30
  6. Step 6: Final answer
    x = 484.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.