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Finding the Fourth Proportional to 211.12, 316 and 186.80

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Solution

The fourth proportional to 211.12, 316 and 186.80 is: 279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.12 : 316 = 186.80 : x
  2. Step 2: Convert to fraction form
    211.12/316 = 186.80/x
  3. Step 3: Cross multiply
    211.12x = 316 × 186.80
  4. Step 4: Simplify right side
    211.12x = 59,028.80
  5. Step 5: Solve for x
    x = 59,028.80/211.12
  6. Step 6: Final answer
    x = 279.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.