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Finding the Fourth Proportional to 211.70, 318.27 and 166.59

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Solution

The fourth proportional to 211.70, 318.27 and 166.59 is: 250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.70 : 318.27 = 166.59 : x
  2. Step 2: Convert to fraction form
    211.70/318.27 = 166.59/x
  3. Step 3: Cross multiply
    211.70x = 318.27 × 166.59
  4. Step 4: Simplify right side
    211.70x = 53,021.22
  5. Step 5: Solve for x
    x = 53,021.22/211.70
  6. Step 6: Final answer
    x = 250.45

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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.