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Finding the Fourth Proportional to 165.37, 246.96 and 156.48

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Solution

The fourth proportional to 165.37, 246.96 and 156.48 is: 233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.37 : 246.96 = 156.48 : x
  2. Step 2: Convert to fraction form
    165.37/246.96 = 156.48/x
  3. Step 3: Cross multiply
    165.37x = 246.96 × 156.48
  4. Step 4: Simplify right side
    165.37x = 38,644.30
  5. Step 5: Solve for x
    x = 38,644.30/165.37
  6. Step 6: Final answer
    x = 233.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.