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Finding the Fourth Proportional to 290.80, 436.08 and 232.84

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Solution

The fourth proportional to 290.80, 436.08 and 232.84 is: 349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.80 : 436.08 = 232.84 : x
  2. Step 2: Convert to fraction form
    290.80/436.08 = 232.84/x
  3. Step 3: Cross multiply
    290.80x = 436.08 × 232.84
  4. Step 4: Simplify right side
    290.80x = 101,536.87
  5. Step 5: Solve for x
    x = 101,536.87/290.80
  6. Step 6: Final answer
    x = 349.16

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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.