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Finding the Fourth Proportional to 231.78, 319.90 and 133.58

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Solution

The fourth proportional to 231.78, 319.90 and 133.58 is: 184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.78 : 319.90 = 133.58 : x
  2. Step 2: Convert to fraction form
    231.78/319.90 = 133.58/x
  3. Step 3: Cross multiply
    231.78x = 319.90 × 133.58
  4. Step 4: Simplify right side
    231.78x = 42,732.24
  5. Step 5: Solve for x
    x = 42,732.24/231.78
  6. Step 6: Final answer
    x = 184.37

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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.