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Finding the Fourth Proportional to 230.45, 317.33 and 164.84

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Solution

The fourth proportional to 230.45, 317.33 and 164.84 is: 226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.45 : 317.33 = 164.84 : x
  2. Step 2: Convert to fraction form
    230.45/317.33 = 164.84/x
  3. Step 3: Cross multiply
    230.45x = 317.33 × 164.84
  4. Step 4: Simplify right side
    230.45x = 52,308.68
  5. Step 5: Solve for x
    x = 52,308.68/230.45
  6. Step 6: Final answer
    x = 226.98

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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.