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Finding the Fourth Proportional to 444.12, 611.89 and 304.18

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Solution

The fourth proportional to 444.12, 611.89 and 304.18 is: 419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.12 : 611.89 = 304.18 : x
  2. Step 2: Convert to fraction form
    444.12/611.89 = 304.18/x
  3. Step 3: Cross multiply
    444.12x = 611.89 × 304.18
  4. Step 4: Simplify right side
    444.12x = 186,124.70
  5. Step 5: Solve for x
    x = 186,124.70/444.12
  6. Step 6: Final answer
    x = 419.09

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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.