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Finding the Fourth Proportional to 228.30, 340.68 and 195.78

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Solution

The fourth proportional to 228.30, 340.68 and 195.78 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.30 : 340.68 = 195.78 : x
  2. Step 2: Convert to fraction form
    228.30/340.68 = 195.78/x
  3. Step 3: Cross multiply
    228.30x = 340.68 × 195.78
  4. Step 4: Simplify right side
    228.30x = 66,698.33
  5. Step 5: Solve for x
    x = 66,698.33/228.30
  6. Step 6: Final answer
    x = 292.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.