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Finding the Fourth Proportional to 231.98, 320.15 and 190.42

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Solution

The fourth proportional to 231.98, 320.15 and 190.42 is: 262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.98 : 320.15 = 190.42 : x
  2. Step 2: Convert to fraction form
    231.98/320.15 = 190.42/x
  3. Step 3: Cross multiply
    231.98x = 320.15 × 190.42
  4. Step 4: Simplify right side
    231.98x = 60,962.64
  5. Step 5: Solve for x
    x = 60,962.64/231.98
  6. Step 6: Final answer
    x = 262.79

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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.