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Finding the Fourth Proportional to 302.23, 455.42 and 249.31

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Solution

The fourth proportional to 302.23, 455.42 and 249.31 is: 375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 455.42 = 249.31 : x
  2. Step 2: Convert to fraction form
    302.23/455.42 = 249.31/x
  3. Step 3: Cross multiply
    302.23x = 455.42 × 249.31
  4. Step 4: Simplify right side
    302.23x = 113,540.76
  5. Step 5: Solve for x
    x = 113,540.76/302.23
  6. Step 6: Final answer
    x = 375.68

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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.