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Finding the Fourth Proportional to 315.11, 434.57 and 197.09

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Solution

The fourth proportional to 315.11, 434.57 and 197.09 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.11 : 434.57 = 197.09 : x
  2. Step 2: Convert to fraction form
    315.11/434.57 = 197.09/x
  3. Step 3: Cross multiply
    315.11x = 434.57 × 197.09
  4. Step 4: Simplify right side
    315.11x = 85,649.40
  5. Step 5: Solve for x
    x = 85,649.40/315.11
  6. Step 6: Final answer
    x = 271.81

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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.