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Finding the Fourth Proportional to 230.21, 318.11 and 164.60

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Solution

The fourth proportional to 230.21, 318.11 and 164.60 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.21 : 318.11 = 164.60 : x
  2. Step 2: Convert to fraction form
    230.21/318.11 = 164.60/x
  3. Step 3: Cross multiply
    230.21x = 318.11 × 164.60
  4. Step 4: Simplify right side
    230.21x = 52,360.91
  5. Step 5: Solve for x
    x = 52,360.91/230.21
  6. Step 6: Final answer
    x = 227.45

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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.