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Finding the Fourth Proportional to 230.09, 317.27 and 167.81

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Solution

The fourth proportional to 230.09, 317.27 and 167.81 is: 231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.09 : 317.27 = 167.81 : x
  2. Step 2: Convert to fraction form
    230.09/317.27 = 167.81/x
  3. Step 3: Cross multiply
    230.09x = 317.27 × 167.81
  4. Step 4: Simplify right side
    230.09x = 53,240.24
  5. Step 5: Solve for x
    x = 53,240.24/230.09
  6. Step 6: Final answer
    x = 231.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.