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Finding the Fourth Proportional to 231.85, 345.79 and 209.98

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Solution

The fourth proportional to 231.85, 345.79 and 209.98 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.85 : 345.79 = 209.98 : x
  2. Step 2: Convert to fraction form
    231.85/345.79 = 209.98/x
  3. Step 3: Cross multiply
    231.85x = 345.79 × 209.98
  4. Step 4: Simplify right side
    231.85x = 72,608.98
  5. Step 5: Solve for x
    x = 72,608.98/231.85
  6. Step 6: Final answer
    x = 313.17

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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.