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Finding the Fourth Proportional to 302.11, 452.66 and 193.84

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Solution

The fourth proportional to 302.11, 452.66 and 193.84 is: 290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.11 : 452.66 = 193.84 : x
  2. Step 2: Convert to fraction form
    302.11/452.66 = 193.84/x
  3. Step 3: Cross multiply
    302.11x = 452.66 × 193.84
  4. Step 4: Simplify right side
    302.11x = 87,742.65
  5. Step 5: Solve for x
    x = 87,742.65/302.11
  6. Step 6: Final answer
    x = 290.43

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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.