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Finding the Fourth Proportional to 211.58, 317.09 and 163.25

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Solution

The fourth proportional to 211.58, 317.09 and 163.25 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.58 : 317.09 = 163.25 : x
  2. Step 2: Convert to fraction form
    211.58/317.09 = 163.25/x
  3. Step 3: Cross multiply
    211.58x = 317.09 × 163.25
  4. Step 4: Simplify right side
    211.58x = 51,763.77
  5. Step 5: Solve for x
    x = 51,763.77/211.58
  6. Step 6: Final answer
    x = 244.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.