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Finding the Fourth Proportional to 444.60, 612.24 and 304.57

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Solution

The fourth proportional to 444.60, 612.24 and 304.57 is: 419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.60 : 612.24 = 304.57 : x
  2. Step 2: Convert to fraction form
    444.60/612.24 = 304.57/x
  3. Step 3: Cross multiply
    444.60x = 612.24 × 304.57
  4. Step 4: Simplify right side
    444.60x = 186,469.56
  5. Step 5: Solve for x
    x = 186,469.56/444.60
  6. Step 6: Final answer
    x = 419.41

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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.