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Finding the Fourth Proportional to 366.40, 548.34 and 257.68

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Solution

The fourth proportional to 366.40, 548.34 and 257.68 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.40 : 548.34 = 257.68 : x
  2. Step 2: Convert to fraction form
    366.40/548.34 = 257.68/x
  3. Step 3: Cross multiply
    366.40x = 548.34 × 257.68
  4. Step 4: Simplify right side
    366.40x = 141,296.25
  5. Step 5: Solve for x
    x = 141,296.25/366.40
  6. Step 6: Final answer
    x = 385.63

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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.