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Finding the Fourth Proportional to 449.20, 673.53 and 156.55

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Solution

The fourth proportional to 449.20, 673.53 and 156.55 is: 234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.20 : 673.53 = 156.55 : x
  2. Step 2: Convert to fraction form
    449.20/673.53 = 156.55/x
  3. Step 3: Cross multiply
    449.20x = 673.53 × 156.55
  4. Step 4: Simplify right side
    449.20x = 105,440.99
  5. Step 5: Solve for x
    x = 105,440.99/449.20
  6. Step 6: Final answer
    x = 234.73

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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.