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Finding the Fourth Proportional to 496.11, 743.26 and 290.34

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Solution

The fourth proportional to 496.11, 743.26 and 290.34 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.11 : 743.26 = 290.34 : x
  2. Step 2: Convert to fraction form
    496.11/743.26 = 290.34/x
  3. Step 3: Cross multiply
    496.11x = 743.26 × 290.34
  4. Step 4: Simplify right side
    496.11x = 215,798.11
  5. Step 5: Solve for x
    x = 215,798.11/496.11
  6. Step 6: Final answer
    x = 434.98

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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.