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Finding the Fourth Proportional to 365.89, 548.96 and 228.77

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Solution

The fourth proportional to 365.89, 548.96 and 228.77 is: 343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.89 : 548.96 = 228.77 : x
  2. Step 2: Convert to fraction form
    365.89/548.96 = 228.77/x
  3. Step 3: Cross multiply
    365.89x = 548.96 × 228.77
  4. Step 4: Simplify right side
    365.89x = 125,585.58
  5. Step 5: Solve for x
    x = 125,585.58/365.89
  6. Step 6: Final answer
    x = 343.23

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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.