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Finding the Fourth Proportional to 257.07, 385.32 and 196.46

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Solution

The fourth proportional to 257.07, 385.32 and 196.46 is: 294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.07 : 385.32 = 196.46 : x
  2. Step 2: Convert to fraction form
    257.07/385.32 = 196.46/x
  3. Step 3: Cross multiply
    257.07x = 385.32 × 196.46
  4. Step 4: Simplify right side
    257.07x = 75,700.22
  5. Step 5: Solve for x
    x = 75,700.22/257.07
  6. Step 6: Final answer
    x = 294.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.