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Finding the Fourth Proportional to 211.41, 314.99 and 197.44

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Solution

The fourth proportional to 211.41, 314.99 and 197.44 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.41 : 314.99 = 197.44 : x
  2. Step 2: Convert to fraction form
    211.41/314.99 = 197.44/x
  3. Step 3: Cross multiply
    211.41x = 314.99 × 197.44
  4. Step 4: Simplify right side
    211.41x = 62,190.59
  5. Step 5: Solve for x
    x = 62,190.59/211.41
  6. Step 6: Final answer
    x = 294.17

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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.