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Finding the Fourth Proportional to 165.53, 248.19 and 78.82

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Solution

The fourth proportional to 165.53, 248.19 and 78.82 is: 118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.53 : 248.19 = 78.82 : x
  2. Step 2: Convert to fraction form
    165.53/248.19 = 78.82/x
  3. Step 3: Cross multiply
    165.53x = 248.19 × 78.82
  4. Step 4: Simplify right side
    165.53x = 19,562.34
  5. Step 5: Solve for x
    x = 19,562.34/165.53
  6. Step 6: Final answer
    x = 118.18

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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.