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Finding the Fourth Proportional to 257.85, 356.20 and 193.15

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Solution

The fourth proportional to 257.85, 356.20 and 193.15 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.85 : 356.20 = 193.15 : x
  2. Step 2: Convert to fraction form
    257.85/356.20 = 193.15/x
  3. Step 3: Cross multiply
    257.85x = 356.20 × 193.15
  4. Step 4: Simplify right side
    257.85x = 68,799.99
  5. Step 5: Solve for x
    x = 68,799.99/257.85
  6. Step 6: Final answer
    x = 266.82

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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.