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Finding the Fourth Proportional to 484.68, 727.38 and 228.36

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Solution

The fourth proportional to 484.68, 727.38 and 228.36 is: 342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.68 : 727.38 = 228.36 : x
  2. Step 2: Convert to fraction form
    484.68/727.38 = 228.36/x
  3. Step 3: Cross multiply
    484.68x = 727.38 × 228.36
  4. Step 4: Simplify right side
    484.68x = 166,104.50
  5. Step 5: Solve for x
    x = 166,104.50/484.68
  6. Step 6: Final answer
    x = 342.71

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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.