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Finding the Fourth Proportional to 165.94, 248.64 and 156.82

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Solution

The fourth proportional to 165.94, 248.64 and 156.82 is: 234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 248.64 = 156.82 : x
  2. Step 2: Convert to fraction form
    165.94/248.64 = 156.82/x
  3. Step 3: Cross multiply
    165.94x = 248.64 × 156.82
  4. Step 4: Simplify right side
    165.94x = 38,991.72
  5. Step 5: Solve for x
    x = 38,991.72/165.94
  6. Step 6: Final answer
    x = 234.97

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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.