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Finding the Fourth Proportional to 161.19, 243.54 and 159.75

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Solution

The fourth proportional to 161.19, 243.54 and 159.75 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.19 : 243.54 = 159.75 : x
  2. Step 2: Convert to fraction form
    161.19/243.54 = 159.75/x
  3. Step 3: Cross multiply
    161.19x = 243.54 × 159.75
  4. Step 4: Simplify right side
    161.19x = 38,905.52
  5. Step 5: Solve for x
    x = 38,905.52/161.19
  6. Step 6: Final answer
    x = 241.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.