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Finding the Fourth Proportional to 299.87, 450.01 and 114.93

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Solution

The fourth proportional to 299.87, 450.01 and 114.93 is: 172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.87 : 450.01 = 114.93 : x
  2. Step 2: Convert to fraction form
    299.87/450.01 = 114.93/x
  3. Step 3: Cross multiply
    299.87x = 450.01 × 114.93
  4. Step 4: Simplify right side
    299.87x = 51,719.65
  5. Step 5: Solve for x
    x = 51,719.65/299.87
  6. Step 6: Final answer
    x = 172.47

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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.