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Finding the Fourth Proportional to 251.90, 377.96 and 115.07

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Solution

The fourth proportional to 251.90, 377.96 and 115.07 is: 172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.90 : 377.96 = 115.07 : x
  2. Step 2: Convert to fraction form
    251.90/377.96 = 115.07/x
  3. Step 3: Cross multiply
    251.90x = 377.96 × 115.07
  4. Step 4: Simplify right side
    251.90x = 43,489.39
  5. Step 5: Solve for x
    x = 43,489.39/251.90
  6. Step 6: Final answer
    x = 172.65

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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.