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Finding the Fourth Proportional to 444.25, 612.93 and 257.75

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Solution

The fourth proportional to 444.25, 612.93 and 257.75 is: 355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.25 : 612.93 = 257.75 : x
  2. Step 2: Convert to fraction form
    444.25/612.93 = 257.75/x
  3. Step 3: Cross multiply
    444.25x = 612.93 × 257.75
  4. Step 4: Simplify right side
    444.25x = 157,982.71
  5. Step 5: Solve for x
    x = 157,982.71/444.25
  6. Step 6: Final answer
    x = 355.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.