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Finding the Fourth Proportional to 454.89, 682.19 and 146.67

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Solution

The fourth proportional to 454.89, 682.19 and 146.67 is: 219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.89 : 682.19 = 146.67 : x
  2. Step 2: Convert to fraction form
    454.89/682.19 = 146.67/x
  3. Step 3: Cross multiply
    454.89x = 682.19 × 146.67
  4. Step 4: Simplify right side
    454.89x = 100,057.90
  5. Step 5: Solve for x
    x = 100,057.90/454.89
  6. Step 6: Final answer
    x = 219.96

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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.