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Finding the Fourth Proportional to 230.13, 316.28 and 223.65

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Solution

The fourth proportional to 230.13, 316.28 and 223.65 is: 307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.13 : 316.28 = 223.65 : x
  2. Step 2: Convert to fraction form
    230.13/316.28 = 223.65/x
  3. Step 3: Cross multiply
    230.13x = 316.28 × 223.65
  4. Step 4: Simplify right side
    230.13x = 70,736.58
  5. Step 5: Solve for x
    x = 70,736.58/230.13
  6. Step 6: Final answer
    x = 307.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.