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Finding the Fourth Proportional to 231.83, 345.08 and 230.82

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Solution

The fourth proportional to 231.83, 345.08 and 230.82 is: 343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.83 : 345.08 = 230.82 : x
  2. Step 2: Convert to fraction form
    231.83/345.08 = 230.82/x
  3. Step 3: Cross multiply
    231.83x = 345.08 × 230.82
  4. Step 4: Simplify right side
    231.83x = 79,650.21
  5. Step 5: Solve for x
    x = 79,650.21/231.83
  6. Step 6: Final answer
    x = 343.58

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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.