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Finding the Fourth Proportional to 412.54, 619.26 and 248.38

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Solution

The fourth proportional to 412.54, 619.26 and 248.38 is: 372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 619.26 = 248.38 : x
  2. Step 2: Convert to fraction form
    412.54/619.26 = 248.38/x
  3. Step 3: Cross multiply
    412.54x = 619.26 × 248.38
  4. Step 4: Simplify right side
    412.54x = 153,811.80
  5. Step 5: Solve for x
    x = 153,811.80/412.54
  6. Step 6: Final answer
    x = 372.84

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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.