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Finding the Fourth Proportional to 290.07, 433.56 and 238.43

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Solution

The fourth proportional to 290.07, 433.56 and 238.43 is: 356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.07 : 433.56 = 238.43 : x
  2. Step 2: Convert to fraction form
    290.07/433.56 = 238.43/x
  3. Step 3: Cross multiply
    290.07x = 433.56 × 238.43
  4. Step 4: Simplify right side
    290.07x = 103,371.54
  5. Step 5: Solve for x
    x = 103,371.54/290.07
  6. Step 6: Final answer
    x = 356.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.