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Finding the Fourth Proportional to 444.63, 613.23 and 304.60

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Solution

The fourth proportional to 444.63, 613.23 and 304.60 is: 420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.63 : 613.23 = 304.60 : x
  2. Step 2: Convert to fraction form
    444.63/613.23 = 304.60/x
  3. Step 3: Cross multiply
    444.63x = 613.23 × 304.60
  4. Step 4: Simplify right side
    444.63x = 186,789.86
  5. Step 5: Solve for x
    x = 186,789.86/444.63
  6. Step 6: Final answer
    x = 420.10

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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.