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Finding the Fourth Proportional to 365.90, 548.57 and 250.06

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Solution

The fourth proportional to 365.90, 548.57 and 250.06 is: 374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.90 : 548.57 = 250.06 : x
  2. Step 2: Convert to fraction form
    365.90/548.57 = 250.06/x
  3. Step 3: Cross multiply
    365.90x = 548.57 × 250.06
  4. Step 4: Simplify right side
    365.90x = 137,175.41
  5. Step 5: Solve for x
    x = 137,175.41/365.90
  6. Step 6: Final answer
    x = 374.90

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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.