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Finding the Fourth Proportional to 444.49, 666.19 and 298.23

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Solution

The fourth proportional to 444.49, 666.19 and 298.23 is: 446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.49 : 666.19 = 298.23 : x
  2. Step 2: Convert to fraction form
    444.49/666.19 = 298.23/x
  3. Step 3: Cross multiply
    444.49x = 666.19 × 298.23
  4. Step 4: Simplify right side
    444.49x = 198,679.47
  5. Step 5: Solve for x
    x = 198,679.47/444.49
  6. Step 6: Final answer
    x = 446.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.