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Finding the Fourth Proportional to 290.09, 436.59 and 261.79

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Solution

The fourth proportional to 290.09, 436.59 and 261.79 is: 393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.09 : 436.59 = 261.79 : x
  2. Step 2: Convert to fraction form
    290.09/436.59 = 261.79/x
  3. Step 3: Cross multiply
    290.09x = 436.59 × 261.79
  4. Step 4: Simplify right side
    290.09x = 114,293.80
  5. Step 5: Solve for x
    x = 114,293.80/290.09
  6. Step 6: Final answer
    x = 393.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.