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Finding the Fourth Proportional to 444.49, 614.24 and 333.77

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Solution

The fourth proportional to 444.49, 614.24 and 333.77 is: 461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.49 : 614.24 = 333.77 : x
  2. Step 2: Convert to fraction form
    444.49/614.24 = 333.77/x
  3. Step 3: Cross multiply
    444.49x = 614.24 × 333.77
  4. Step 4: Simplify right side
    444.49x = 205,014.88
  5. Step 5: Solve for x
    x = 205,014.88/444.49
  6. Step 6: Final answer
    x = 461.24

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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.