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Finding the Fourth Proportional to 257.99, 356.02 and 139.96

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Solution

The fourth proportional to 257.99, 356.02 and 139.96 is: 193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.99 : 356.02 = 139.96 : x
  2. Step 2: Convert to fraction form
    257.99/356.02 = 139.96/x
  3. Step 3: Cross multiply
    257.99x = 356.02 × 139.96
  4. Step 4: Simplify right side
    257.99x = 49,828.56
  5. Step 5: Solve for x
    x = 49,828.56/257.99
  6. Step 6: Final answer
    x = 193.14

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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.