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Finding the Fourth Proportional to 257.04, 382.80 and 244.56

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Solution

The fourth proportional to 257.04, 382.80 and 244.56 is: 364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 382.80 = 244.56 : x
  2. Step 2: Convert to fraction form
    257.04/382.80 = 244.56/x
  3. Step 3: Cross multiply
    257.04x = 382.80 × 244.56
  4. Step 4: Simplify right side
    257.04x = 93,617.57
  5. Step 5: Solve for x
    x = 93,617.57/257.04
  6. Step 6: Final answer
    x = 364.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.