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Finding the Fourth Proportional to 231.59, 319.34 and 211.75

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Solution

The fourth proportional to 231.59, 319.34 and 211.75 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.59 : 319.34 = 211.75 : x
  2. Step 2: Convert to fraction form
    231.59/319.34 = 211.75/x
  3. Step 3: Cross multiply
    231.59x = 319.34 × 211.75
  4. Step 4: Simplify right side
    231.59x = 67,619.98
  5. Step 5: Solve for x
    x = 67,619.98/231.59
  6. Step 6: Final answer
    x = 291.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.