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Finding the Fourth Proportional to 290.94, 435.33 and 233.43

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Solution

The fourth proportional to 290.94, 435.33 and 233.43 is: 349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.94 : 435.33 = 233.43 : x
  2. Step 2: Convert to fraction form
    290.94/435.33 = 233.43/x
  3. Step 3: Cross multiply
    290.94x = 435.33 × 233.43
  4. Step 4: Simplify right side
    290.94x = 101,619.08
  5. Step 5: Solve for x
    x = 101,619.08/290.94
  6. Step 6: Final answer
    x = 349.28

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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.