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Finding the Fourth Proportional to 469.84, 648.45 and 273.37

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Solution

The fourth proportional to 469.84, 648.45 and 273.37 is: 377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.84 : 648.45 = 273.37 : x
  2. Step 2: Convert to fraction form
    469.84/648.45 = 273.37/x
  3. Step 3: Cross multiply
    469.84x = 648.45 × 273.37
  4. Step 4: Simplify right side
    469.84x = 177,266.78
  5. Step 5: Solve for x
    x = 177,266.78/469.84
  6. Step 6: Final answer
    x = 377.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.