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Finding the Fourth Proportional to 228.09, 342.57 and 136.95

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Solution

The fourth proportional to 228.09, 342.57 and 136.95 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.09 : 342.57 = 136.95 : x
  2. Step 2: Convert to fraction form
    228.09/342.57 = 136.95/x
  3. Step 3: Cross multiply
    228.09x = 342.57 × 136.95
  4. Step 4: Simplify right side
    228.09x = 46,914.96
  5. Step 5: Solve for x
    x = 46,914.96/228.09
  6. Step 6: Final answer
    x = 205.69

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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.