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Finding the Fourth Proportional to 449.64, 674.57 and 189.49

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Solution

The fourth proportional to 449.64, 674.57 and 189.49 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.64 : 674.57 = 189.49 : x
  2. Step 2: Convert to fraction form
    449.64/674.57 = 189.49/x
  3. Step 3: Cross multiply
    449.64x = 674.57 × 189.49
  4. Step 4: Simplify right side
    449.64x = 127,824.27
  5. Step 5: Solve for x
    x = 127,824.27/449.64
  6. Step 6: Final answer
    x = 284.28

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Similar ratio
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1.5x scale

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.