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Finding the Fourth Proportional to 165.82, 246.71 and 157.18

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Solution

The fourth proportional to 165.82, 246.71 and 157.18 is: 233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.82 : 246.71 = 157.18 : x
  2. Step 2: Convert to fraction form
    165.82/246.71 = 157.18/x
  3. Step 3: Cross multiply
    165.82x = 246.71 × 157.18
  4. Step 4: Simplify right side
    165.82x = 38,777.88
  5. Step 5: Solve for x
    x = 38,777.88/165.82
  6. Step 6: Final answer
    x = 233.86

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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.