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Finding the Fourth Proportional to 302.87, 453.67 and 194.33

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Solution

The fourth proportional to 302.87, 453.67 and 194.33 is: 291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.87 : 453.67 = 194.33 : x
  2. Step 2: Convert to fraction form
    302.87/453.67 = 194.33/x
  3. Step 3: Cross multiply
    302.87x = 453.67 × 194.33
  4. Step 4: Simplify right side
    302.87x = 88,161.69
  5. Step 5: Solve for x
    x = 88,161.69/302.87
  6. Step 6: Final answer
    x = 291.09

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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.