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Finding the Fourth Proportional to 231.85, 319.71 and 148.90

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Solution

The fourth proportional to 231.85, 319.71 and 148.90 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.85 : 319.71 = 148.90 : x
  2. Step 2: Convert to fraction form
    231.85/319.71 = 148.90/x
  3. Step 3: Cross multiply
    231.85x = 319.71 × 148.90
  4. Step 4: Simplify right side
    231.85x = 47,604.82
  5. Step 5: Solve for x
    x = 47,604.82/231.85
  6. Step 6: Final answer
    x = 205.33

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