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Finding the Fourth Proportional to 299.08, 448.29 and 116.39

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Solution

The fourth proportional to 299.08, 448.29 and 116.39 is: 174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.08 : 448.29 = 116.39 : x
  2. Step 2: Convert to fraction form
    299.08/448.29 = 116.39/x
  3. Step 3: Cross multiply
    299.08x = 448.29 × 116.39
  4. Step 4: Simplify right side
    299.08x = 52,176.47
  5. Step 5: Solve for x
    x = 52,176.47/299.08
  6. Step 6: Final answer
    x = 174.46

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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.