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Finding the Fourth Proportional to 538.81, 743.53 and 339.41

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Solution

The fourth proportional to 538.81, 743.53 and 339.41 is: 468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.81 : 743.53 = 339.41 : x
  2. Step 2: Convert to fraction form
    538.81/743.53 = 339.41/x
  3. Step 3: Cross multiply
    538.81x = 743.53 × 339.41
  4. Step 4: Simplify right side
    538.81x = 252,361.52
  5. Step 5: Solve for x
    x = 252,361.52/538.81
  6. Step 6: Final answer
    x = 468.37

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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.