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Finding the Fourth Proportional to 257.80, 388.50 and 232.15

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Solution

The fourth proportional to 257.80, 388.50 and 232.15 is: 349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.80 : 388.50 = 232.15 : x
  2. Step 2: Convert to fraction form
    257.80/388.50 = 232.15/x
  3. Step 3: Cross multiply
    257.80x = 388.50 × 232.15
  4. Step 4: Simplify right side
    257.80x = 90,190.28
  5. Step 5: Solve for x
    x = 90,190.28/257.80
  6. Step 6: Final answer
    x = 349.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.