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Finding the Fourth Proportional to 365.73, 547.41 and 228.90

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Solution

The fourth proportional to 365.73, 547.41 and 228.90 is: 342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.73 : 547.41 = 228.90 : x
  2. Step 2: Convert to fraction form
    365.73/547.41 = 228.90/x
  3. Step 3: Cross multiply
    365.73x = 547.41 × 228.90
  4. Step 4: Simplify right side
    365.73x = 125,302.15
  5. Step 5: Solve for x
    x = 125,302.15/365.73
  6. Step 6: Final answer
    x = 342.61

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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.