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Finding the Fourth Proportional to 449.50, 674.70 and 189.64

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Solution

The fourth proportional to 449.50, 674.70 and 189.64 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.50 : 674.70 = 189.64 : x
  2. Step 2: Convert to fraction form
    449.50/674.70 = 189.64/x
  3. Step 3: Cross multiply
    449.50x = 674.70 × 189.64
  4. Step 4: Simplify right side
    449.50x = 127,950.11
  5. Step 5: Solve for x
    x = 127,950.11/449.50
  6. Step 6: Final answer
    x = 284.65

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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.