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Finding the Fourth Proportional to 231.70, 319.78 and 148.80

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Solution

The fourth proportional to 231.70, 319.78 and 148.80 is: 205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.70 : 319.78 = 148.80 : x
  2. Step 2: Convert to fraction form
    231.70/319.78 = 148.80/x
  3. Step 3: Cross multiply
    231.70x = 319.78 × 148.80
  4. Step 4: Simplify right side
    231.70x = 47,583.26
  5. Step 5: Solve for x
    x = 47,583.26/231.70
  6. Step 6: Final answer
    x = 205.37

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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.