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Finding the Fourth Proportional to 300.10, 449.88 and 117.37

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Solution

The fourth proportional to 300.10, 449.88 and 117.37 is: 175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.10 : 449.88 = 117.37 : x
  2. Step 2: Convert to fraction form
    300.10/449.88 = 117.37/x
  3. Step 3: Cross multiply
    300.10x = 449.88 × 117.37
  4. Step 4: Simplify right side
    300.10x = 52,799.58
  5. Step 5: Solve for x
    x = 52,799.58/300.10
  6. Step 6: Final answer
    x = 175.94

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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.