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Finding the Fourth Proportional to 251.99, 378.03 and 115.07

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Solution

The fourth proportional to 251.99, 378.03 and 115.07 is: 172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.99 : 378.03 = 115.07 : x
  2. Step 2: Convert to fraction form
    251.99/378.03 = 115.07/x
  3. Step 3: Cross multiply
    251.99x = 378.03 × 115.07
  4. Step 4: Simplify right side
    251.99x = 43,498.02
  5. Step 5: Solve for x
    x = 43,498.02/251.99
  6. Step 6: Final answer
    x = 172.62

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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.