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Finding the Fourth Proportional to 302.23, 453.57 and 199.48

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Solution

The fourth proportional to 302.23, 453.57 and 199.48 is: 299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 453.57 = 199.48 : x
  2. Step 2: Convert to fraction form
    302.23/453.57 = 199.48/x
  3. Step 3: Cross multiply
    302.23x = 453.57 × 199.48
  4. Step 4: Simplify right side
    302.23x = 90,477.01
  5. Step 5: Solve for x
    x = 90,477.01/302.23
  6. Step 6: Final answer
    x = 299.37

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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.