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Finding the Fourth Proportional to 165.37, 246.44 and 159.87

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Solution

The fourth proportional to 165.37, 246.44 and 159.87 is: 238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.37 : 246.44 = 159.87 : x
  2. Step 2: Convert to fraction form
    165.37/246.44 = 159.87/x
  3. Step 3: Cross multiply
    165.37x = 246.44 × 159.87
  4. Step 4: Simplify right side
    165.37x = 39,397.12
  5. Step 5: Solve for x
    x = 39,397.12/165.37
  6. Step 6: Final answer
    x = 238.23

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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.