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Finding the Fourth Proportional to 290.28, 436.33 and 268.41

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Solution

The fourth proportional to 290.28, 436.33 and 268.41 is: 403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.28 : 436.33 = 268.41 : x
  2. Step 2: Convert to fraction form
    290.28/436.33 = 268.41/x
  3. Step 3: Cross multiply
    290.28x = 436.33 × 268.41
  4. Step 4: Simplify right side
    290.28x = 117,115.34
  5. Step 5: Solve for x
    x = 117,115.34/290.28
  6. Step 6: Final answer
    x = 403.46

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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.