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Finding the Fourth Proportional to 444.31, 614.46 and 388.96

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Solution

The fourth proportional to 444.31, 614.46 and 388.96 is: 537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.31 : 614.46 = 388.96 : x
  2. Step 2: Convert to fraction form
    444.31/614.46 = 388.96/x
  3. Step 3: Cross multiply
    444.31x = 614.46 × 388.96
  4. Step 4: Simplify right side
    444.31x = 239,000.36
  5. Step 5: Solve for x
    x = 239,000.36/444.31
  6. Step 6: Final answer
    x = 537.91

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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.