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Finding the Fourth Proportional to 211.94, 318.62 and 169.15

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Solution

The fourth proportional to 211.94, 318.62 and 169.15 is: 254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.94 : 318.62 = 169.15 : x
  2. Step 2: Convert to fraction form
    211.94/318.62 = 169.15/x
  3. Step 3: Cross multiply
    211.94x = 318.62 × 169.15
  4. Step 4: Simplify right side
    211.94x = 53,892.13
  5. Step 5: Solve for x
    x = 53,892.13/211.94
  6. Step 6: Final answer
    x = 254.28

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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.