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Finding the Fourth Proportional to 211.43, 316.82 and 130.14

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Solution

The fourth proportional to 211.43, 316.82 and 130.14 is: 195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.43 : 316.82 = 130.14 : x
  2. Step 2: Convert to fraction form
    211.43/316.82 = 130.14/x
  3. Step 3: Cross multiply
    211.43x = 316.82 × 130.14
  4. Step 4: Simplify right side
    211.43x = 41,230.30
  5. Step 5: Solve for x
    x = 41,230.30/211.43
  6. Step 6: Final answer
    x = 195.01

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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.