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Finding the Fourth Proportional to 289.91, 436.96 and 249.82

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Solution

The fourth proportional to 289.91, 436.96 and 249.82 is: 376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.91 : 436.96 = 249.82 : x
  2. Step 2: Convert to fraction form
    289.91/436.96 = 249.82/x
  3. Step 3: Cross multiply
    289.91x = 436.96 × 249.82
  4. Step 4: Simplify right side
    289.91x = 109,159.63
  5. Step 5: Solve for x
    x = 109,159.63/289.91
  6. Step 6: Final answer
    x = 376.53

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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.