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Finding the Fourth Proportional to 230.06, 315.45 and 223.23

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Solution

The fourth proportional to 230.06, 315.45 and 223.23 is: 306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 315.45 = 223.23 : x
  2. Step 2: Convert to fraction form
    230.06/315.45 = 223.23/x
  3. Step 3: Cross multiply
    230.06x = 315.45 × 223.23
  4. Step 4: Simplify right side
    230.06x = 70,417.56
  5. Step 5: Solve for x
    x = 70,417.56/230.06
  6. Step 6: Final answer
    x = 306.08

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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.