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Finding the Fourth Proportional to 484.94, 727.43 and 138.31

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Solution

The fourth proportional to 484.94, 727.43 and 138.31 is: 207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.94 : 727.43 = 138.31 : x
  2. Step 2: Convert to fraction form
    484.94/727.43 = 138.31/x
  3. Step 3: Cross multiply
    484.94x = 727.43 × 138.31
  4. Step 4: Simplify right side
    484.94x = 100,608.33
  5. Step 5: Solve for x
    x = 100,608.33/484.94
  6. Step 6: Final answer
    x = 207.46

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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.