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Finding the Fourth Proportional to 211.05, 316.17 and 165.42

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Solution

The fourth proportional to 211.05, 316.17 and 165.42 is: 247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.05 : 316.17 = 165.42 : x
  2. Step 2: Convert to fraction form
    211.05/316.17 = 165.42/x
  3. Step 3: Cross multiply
    211.05x = 316.17 × 165.42
  4. Step 4: Simplify right side
    211.05x = 52,300.84
  5. Step 5: Solve for x
    x = 52,300.84/211.05
  6. Step 6: Final answer
    x = 247.81

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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.