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Finding the Fourth Proportional to 230.25, 317.66 and 164.85

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Solution

The fourth proportional to 230.25, 317.66 and 164.85 is: 227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 317.66 = 164.85 : x
  2. Step 2: Convert to fraction form
    230.25/317.66 = 164.85/x
  3. Step 3: Cross multiply
    230.25x = 317.66 × 164.85
  4. Step 4: Simplify right side
    230.25x = 52,364.24
  5. Step 5: Solve for x
    x = 52,364.24/230.25
  6. Step 6: Final answer
    x = 227.42

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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.