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Finding the Fourth Proportional to 214.05, 295.41 and 197.58

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Solution

The fourth proportional to 214.05, 295.41 and 197.58 is: 272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.05 : 295.41 = 197.58 : x
  2. Step 2: Convert to fraction form
    214.05/295.41 = 197.58/x
  3. Step 3: Cross multiply
    214.05x = 295.41 × 197.58
  4. Step 4: Simplify right side
    214.05x = 58,367.11
  5. Step 5: Solve for x
    x = 58,367.11/214.05
  6. Step 6: Final answer
    x = 272.68

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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.