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Finding the Fourth Proportional to 230.12, 316.99 and 164.51

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Solution

The fourth proportional to 230.12, 316.99 and 164.51 is: 226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.12 : 316.99 = 164.51 : x
  2. Step 2: Convert to fraction form
    230.12/316.99 = 164.51/x
  3. Step 3: Cross multiply
    230.12x = 316.99 × 164.51
  4. Step 4: Simplify right side
    230.12x = 52,148.02
  5. Step 5: Solve for x
    x = 52,148.02/230.12
  6. Step 6: Final answer
    x = 226.61

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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.