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Finding the Fourth Proportional to 365.41, 548.62 and 228.05

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Solution

The fourth proportional to 365.41, 548.62 and 228.05 is: 342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.41 : 548.62 = 228.05 : x
  2. Step 2: Convert to fraction form
    365.41/548.62 = 228.05/x
  3. Step 3: Cross multiply
    365.41x = 548.62 × 228.05
  4. Step 4: Simplify right side
    365.41x = 125,112.79
  5. Step 5: Solve for x
    x = 125,112.79/365.41
  6. Step 6: Final answer
    x = 342.39

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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.