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Finding the Fourth Proportional to 525.25, 786.68 and 251.54

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Solution

The fourth proportional to 525.25, 786.68 and 251.54 is: 376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.25 : 786.68 = 251.54 : x
  2. Step 2: Convert to fraction form
    525.25/786.68 = 251.54/x
  3. Step 3: Cross multiply
    525.25x = 786.68 × 251.54
  4. Step 4: Simplify right side
    525.25x = 197,879.52
  5. Step 5: Solve for x
    x = 197,879.52/525.25
  6. Step 6: Final answer
    x = 376.73

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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.