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Finding the Fourth Proportional to 299.21, 448.64 and 104.10

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Solution

The fourth proportional to 299.21, 448.64 and 104.10 is: 156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 448.64 = 104.10 : x
  2. Step 2: Convert to fraction form
    299.21/448.64 = 104.10/x
  3. Step 3: Cross multiply
    299.21x = 448.64 × 104.10
  4. Step 4: Simplify right side
    299.21x = 46,702.90
  5. Step 5: Solve for x
    x = 46,702.90/299.21
  6. Step 6: Final answer
    x = 156.09

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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.