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Finding the Fourth Proportional to 178.25, 245.79 and 119.93

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Solution

The fourth proportional to 178.25, 245.79 and 119.93 is: 165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 245.79 = 119.93 : x
  2. Step 2: Convert to fraction form
    178.25/245.79 = 119.93/x
  3. Step 3: Cross multiply
    178.25x = 245.79 × 119.93
  4. Step 4: Simplify right side
    178.25x = 29,477.59
  5. Step 5: Solve for x
    x = 29,477.59/178.25
  6. Step 6: Final answer
    x = 165.37

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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.