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Finding the Fourth Proportional to 320.48, 481.20 and 212

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Solution

The fourth proportional to 320.48, 481.20 and 212 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.48 : 481.20 = 212 : x
  2. Step 2: Convert to fraction form
    320.48/481.20 = 212/x
  3. Step 3: Cross multiply
    320.48x = 481.20 × 212
  4. Step 4: Simplify right side
    320.48x = 102,014.40
  5. Step 5: Solve for x
    x = 102,014.40/320.48
  6. Step 6: Final answer
    x = 318.32

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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.