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Finding the Fourth Proportional to 289.44, 435.73 and 249.75

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Solution

The fourth proportional to 289.44, 435.73 and 249.75 is: 375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.44 : 435.73 = 249.75 : x
  2. Step 2: Convert to fraction form
    289.44/435.73 = 249.75/x
  3. Step 3: Cross multiply
    289.44x = 435.73 × 249.75
  4. Step 4: Simplify right side
    289.44x = 108,823.57
  5. Step 5: Solve for x
    x = 108,823.57/289.44
  6. Step 6: Final answer
    x = 375.98

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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.