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Finding the Fourth Proportional to 211.82, 316 and 196.10

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Solution

The fourth proportional to 211.82, 316 and 196.10 is: 292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.82 : 316 = 196.10 : x
  2. Step 2: Convert to fraction form
    211.82/316 = 196.10/x
  3. Step 3: Cross multiply
    211.82x = 316 × 196.10
  4. Step 4: Simplify right side
    211.82x = 61,967.60
  5. Step 5: Solve for x
    x = 61,967.60/211.82
  6. Step 6: Final answer
    x = 292.55

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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.