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Finding the Fourth Proportional to 290.29, 433.53 and 232.60

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Solution

The fourth proportional to 290.29, 433.53 and 232.60 is: 347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.29 : 433.53 = 232.60 : x
  2. Step 2: Convert to fraction form
    290.29/433.53 = 232.60/x
  3. Step 3: Cross multiply
    290.29x = 433.53 × 232.60
  4. Step 4: Simplify right side
    290.29x = 100,839.08
  5. Step 5: Solve for x
    x = 100,839.08/290.29
  6. Step 6: Final answer
    x = 347.37

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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.