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Finding the Fourth Proportional to 165.80, 246.99 and 157.90

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Solution

The fourth proportional to 165.80, 246.99 and 157.90 is: 235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 246.99 = 157.90 : x
  2. Step 2: Convert to fraction form
    165.80/246.99 = 157.90/x
  3. Step 3: Cross multiply
    165.80x = 246.99 × 157.90
  4. Step 4: Simplify right side
    165.80x = 38,999.72
  5. Step 5: Solve for x
    x = 38,999.72/165.80
  6. Step 6: Final answer
    x = 235.22

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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.