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Finding the Fourth Proportional to 299.61, 449.14 and 104.50

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Solution

The fourth proportional to 299.61, 449.14 and 104.50 is: 156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.61 : 449.14 = 104.50 : x
  2. Step 2: Convert to fraction form
    299.61/449.14 = 104.50/x
  3. Step 3: Cross multiply
    299.61x = 449.14 × 104.50
  4. Step 4: Simplify right side
    299.61x = 46,935.13
  5. Step 5: Solve for x
    x = 46,935.13/299.61
  6. Step 6: Final answer
    x = 156.65

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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.