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Finding the Fourth Proportional to 436.10, 601.76 and 249.60

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Solution

The fourth proportional to 436.10, 601.76 and 249.60 is: 344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.10 : 601.76 = 249.60 : x
  2. Step 2: Convert to fraction form
    436.10/601.76 = 249.60/x
  3. Step 3: Cross multiply
    436.10x = 601.76 × 249.60
  4. Step 4: Simplify right side
    436.10x = 150,199.30
  5. Step 5: Solve for x
    x = 150,199.30/436.10
  6. Step 6: Final answer
    x = 344.41

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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.