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Finding the Fourth Proportional to 348.52, 480.63 and 231.88

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Solution

The fourth proportional to 348.52, 480.63 and 231.88 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.52 : 480.63 = 231.88 : x
  2. Step 2: Convert to fraction form
    348.52/480.63 = 231.88/x
  3. Step 3: Cross multiply
    348.52x = 480.63 × 231.88
  4. Step 4: Simplify right side
    348.52x = 111,448.48
  5. Step 5: Solve for x
    x = 111,448.48/348.52
  6. Step 6: Final answer
    x = 319.78

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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.