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Finding the Fourth Proportional to 231.85, 319.94 and 138.59

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Solution

The fourth proportional to 231.85, 319.94 and 138.59 is: 191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.85 : 319.94 = 138.59 : x
  2. Step 2: Convert to fraction form
    231.85/319.94 = 138.59/x
  3. Step 3: Cross multiply
    231.85x = 319.94 × 138.59
  4. Step 4: Simplify right side
    231.85x = 44,341.63
  5. Step 5: Solve for x
    x = 44,341.63/231.85
  6. Step 6: Final answer
    x = 191.25

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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.