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Finding the Fourth Proportional to 496.19, 744.42 and 290.82

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Solution

The fourth proportional to 496.19, 744.42 and 290.82 is: 436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.19 : 744.42 = 290.82 : x
  2. Step 2: Convert to fraction form
    496.19/744.42 = 290.82/x
  3. Step 3: Cross multiply
    496.19x = 744.42 × 290.82
  4. Step 4: Simplify right side
    496.19x = 216,496.11
  5. Step 5: Solve for x
    x = 216,496.11/496.19
  6. Step 6: Final answer
    x = 436.31

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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.