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Finding the Fourth Proportional to 230.12, 316.98 and 164.50

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Solution

The fourth proportional to 230.12, 316.98 and 164.50 is: 226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.12 : 316.98 = 164.50 : x
  2. Step 2: Convert to fraction form
    230.12/316.98 = 164.50/x
  3. Step 3: Cross multiply
    230.12x = 316.98 × 164.50
  4. Step 4: Simplify right side
    230.12x = 52,143.21
  5. Step 5: Solve for x
    x = 52,143.21/230.12
  6. Step 6: Final answer
    x = 226.59

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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.