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Finding the Fourth Proportional to 211.43, 316.68 and 130.03

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Solution

The fourth proportional to 211.43, 316.68 and 130.03 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.43 : 316.68 = 130.03 : x
  2. Step 2: Convert to fraction form
    211.43/316.68 = 130.03/x
  3. Step 3: Cross multiply
    211.43x = 316.68 × 130.03
  4. Step 4: Simplify right side
    211.43x = 41,176.32
  5. Step 5: Solve for x
    x = 41,176.32/211.43
  6. Step 6: Final answer
    x = 194.75

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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.