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Finding the Fourth Proportional to 211.30, 316.68 and 194.02

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Solution

The fourth proportional to 211.30, 316.68 and 194.02 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.30 : 316.68 = 194.02 : x
  2. Step 2: Convert to fraction form
    211.30/316.68 = 194.02/x
  3. Step 3: Cross multiply
    211.30x = 316.68 × 194.02
  4. Step 4: Simplify right side
    211.30x = 61,442.25
  5. Step 5: Solve for x
    x = 61,442.25/211.30
  6. Step 6: Final answer
    x = 290.78

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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.