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Finding the Fourth Proportional to 538.22, 743.10 and 339.14

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Solution

The fourth proportional to 538.22, 743.10 and 339.14 is: 468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.22 : 743.10 = 339.14 : x
  2. Step 2: Convert to fraction form
    538.22/743.10 = 339.14/x
  3. Step 3: Cross multiply
    538.22x = 743.10 × 339.14
  4. Step 4: Simplify right side
    538.22x = 252,014.93
  5. Step 5: Solve for x
    x = 252,014.93/538.22
  6. Step 6: Final answer
    x = 468.24

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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.