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Finding the Fourth Proportional to 257.96, 388.33 and 231.50

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Solution

The fourth proportional to 257.96, 388.33 and 231.50 is: 348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 388.33 = 231.50 : x
  2. Step 2: Convert to fraction form
    257.96/388.33 = 231.50/x
  3. Step 3: Cross multiply
    257.96x = 388.33 × 231.50
  4. Step 4: Simplify right side
    257.96x = 89,897.24
  5. Step 5: Solve for x
    x = 89,897.24/257.96
  6. Step 6: Final answer
    x = 348.49

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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.