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Finding the Fourth Proportional to 231.83, 345.19 and 230.21

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Solution

The fourth proportional to 231.83, 345.19 and 230.21 is: 342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.83 : 345.19 = 230.21 : x
  2. Step 2: Convert to fraction form
    231.83/345.19 = 230.21/x
  3. Step 3: Cross multiply
    231.83x = 345.19 × 230.21
  4. Step 4: Simplify right side
    231.83x = 79,466.19
  5. Step 5: Solve for x
    x = 79,466.19/231.83
  6. Step 6: Final answer
    x = 342.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.