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Finding the Fourth Proportional to 444.17, 613.09 and 257.71

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Solution

The fourth proportional to 444.17, 613.09 and 257.71 is: 355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.17 : 613.09 = 257.71 : x
  2. Step 2: Convert to fraction form
    444.17/613.09 = 257.71/x
  3. Step 3: Cross multiply
    444.17x = 613.09 × 257.71
  4. Step 4: Simplify right side
    444.17x = 157,996.36
  5. Step 5: Solve for x
    x = 157,996.36/444.17
  6. Step 6: Final answer
    x = 355.71

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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.