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Finding the Fourth Proportional to 165.48, 229.43 and 157.56

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Solution

The fourth proportional to 165.48, 229.43 and 157.56 is: 218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.48 : 229.43 = 157.56 : x
  2. Step 2: Convert to fraction form
    165.48/229.43 = 157.56/x
  3. Step 3: Cross multiply
    165.48x = 229.43 × 157.56
  4. Step 4: Simplify right side
    165.48x = 36,148.20
  5. Step 5: Solve for x
    x = 36,148.20/165.48
  6. Step 6: Final answer
    x = 218.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.