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Finding the Fourth Proportional to 290.97, 437.36 and 276.57

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Solution

The fourth proportional to 290.97, 437.36 and 276.57 is: 415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.97 : 437.36 = 276.57 : x
  2. Step 2: Convert to fraction form
    290.97/437.36 = 276.57/x
  3. Step 3: Cross multiply
    290.97x = 437.36 × 276.57
  4. Step 4: Simplify right side
    290.97x = 120,959.27
  5. Step 5: Solve for x
    x = 120,959.27/290.97
  6. Step 6: Final answer
    x = 415.71

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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.