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Finding the Fourth Proportional to 302.37, 415.92 and 249.06

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Solution

The fourth proportional to 302.37, 415.92 and 249.06 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.37 : 415.92 = 249.06 : x
  2. Step 2: Convert to fraction form
    302.37/415.92 = 249.06/x
  3. Step 3: Cross multiply
    302.37x = 415.92 × 249.06
  4. Step 4: Simplify right side
    302.37x = 103,589.04
  5. Step 5: Solve for x
    x = 103,589.04/302.37
  6. Step 6: Final answer
    x = 342.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.