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Finding the Fourth Proportional to 315.27, 434.91 and 197.33

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Solution

The fourth proportional to 315.27, 434.91 and 197.33 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.27 : 434.91 = 197.33 : x
  2. Step 2: Convert to fraction form
    315.27/434.91 = 197.33/x
  3. Step 3: Cross multiply
    315.27x = 434.91 × 197.33
  4. Step 4: Simplify right side
    315.27x = 85,821.88
  5. Step 5: Solve for x
    x = 85,821.88/315.27
  6. Step 6: Final answer
    x = 272.22

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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.