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Finding the Fourth Proportional to 290.86, 436.68 and 287.80

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Solution

The fourth proportional to 290.86, 436.68 and 287.80 is: 432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.86 : 436.68 = 287.80 : x
  2. Step 2: Convert to fraction form
    290.86/436.68 = 287.80/x
  3. Step 3: Cross multiply
    290.86x = 436.68 × 287.80
  4. Step 4: Simplify right side
    290.86x = 125,676.50
  5. Step 5: Solve for x
    x = 125,676.50/290.86
  6. Step 6: Final answer
    x = 432.09

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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.