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Finding the Fourth Proportional to 302.40, 416.34 and 249.30

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Solution

The fourth proportional to 302.40, 416.34 and 249.30 is: 343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 416.34 = 249.30 : x
  2. Step 2: Convert to fraction form
    302.40/416.34 = 249.30/x
  3. Step 3: Cross multiply
    302.40x = 416.34 × 249.30
  4. Step 4: Simplify right side
    302.40x = 103,793.56
  5. Step 5: Solve for x
    x = 103,793.56/302.40
  6. Step 6: Final answer
    x = 343.23

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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.