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Finding the Fourth Proportional to 366.26, 548.78 and 257.83

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Solution

The fourth proportional to 366.26, 548.78 and 257.83 is: 386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.26 : 548.78 = 257.83 : x
  2. Step 2: Convert to fraction form
    366.26/548.78 = 257.83/x
  3. Step 3: Cross multiply
    366.26x = 548.78 × 257.83
  4. Step 4: Simplify right side
    366.26x = 141,491.22
  5. Step 5: Solve for x
    x = 141,491.22/366.26
  6. Step 6: Final answer
    x = 386.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.