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Finding the Fourth Proportional to 320.46, 481.14 and 166.50

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Solution

The fourth proportional to 320.46, 481.14 and 166.50 is: 249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.46 : 481.14 = 166.50 : x
  2. Step 2: Convert to fraction form
    320.46/481.14 = 166.50/x
  3. Step 3: Cross multiply
    320.46x = 481.14 × 166.50
  4. Step 4: Simplify right side
    320.46x = 80,109.81
  5. Step 5: Solve for x
    x = 80,109.81/320.46
  6. Step 6: Final answer
    x = 249.98

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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.