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Finding the Fourth Proportional to 228.83, 315.09 and 197.69

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Solution

The fourth proportional to 228.83, 315.09 and 197.69 is: 272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.83 : 315.09 = 197.69 : x
  2. Step 2: Convert to fraction form
    228.83/315.09 = 197.69/x
  3. Step 3: Cross multiply
    228.83x = 315.09 × 197.69
  4. Step 4: Simplify right side
    228.83x = 62,288.57
  5. Step 5: Solve for x
    x = 62,288.57/228.83
  6. Step 6: Final answer
    x = 272.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.