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Finding the Fourth Proportional to 449.49, 674.70 and 312.06

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Solution

The fourth proportional to 449.49, 674.70 and 312.06 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.49 : 674.70 = 312.06 : x
  2. Step 2: Convert to fraction form
    449.49/674.70 = 312.06/x
  3. Step 3: Cross multiply
    449.49x = 674.70 × 312.06
  4. Step 4: Simplify right side
    449.49x = 210,546.88
  5. Step 5: Solve for x
    x = 210,546.88/449.49
  6. Step 6: Final answer
    x = 468.41

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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.