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Finding the Fourth Proportional to 449.36, 674.02 and 312

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Solution

The fourth proportional to 449.36, 674.02 and 312 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.36 : 674.02 = 312 : x
  2. Step 2: Convert to fraction form
    449.36/674.02 = 312/x
  3. Step 3: Cross multiply
    449.36x = 674.02 × 312
  4. Step 4: Simplify right side
    449.36x = 210,294.24
  5. Step 5: Solve for x
    x = 210,294.24/449.36
  6. Step 6: Final answer
    x = 467.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.