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Finding the Fourth Proportional to 365.90, 548.94 and 257.90

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Solution

The fourth proportional to 365.90, 548.94 and 257.90 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.90 : 548.94 = 257.90 : x
  2. Step 2: Convert to fraction form
    365.90/548.94 = 257.90/x
  3. Step 3: Cross multiply
    365.90x = 548.94 × 257.90
  4. Step 4: Simplify right side
    365.90x = 141,571.63
  5. Step 5: Solve for x
    x = 141,571.63/365.90
  6. Step 6: Final answer
    x = 386.91

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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.