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Finding the Fourth Proportional to 161.02, 223.75 and 159.35

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Solution

The fourth proportional to 161.02, 223.75 and 159.35 is: 221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.02 : 223.75 = 159.35 : x
  2. Step 2: Convert to fraction form
    161.02/223.75 = 159.35/x
  3. Step 3: Cross multiply
    161.02x = 223.75 × 159.35
  4. Step 4: Simplify right side
    161.02x = 35,654.96
  5. Step 5: Solve for x
    x = 35,654.96/161.02
  6. Step 6: Final answer
    x = 221.43

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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.