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Finding the Fourth Proportional to 161.44, 243.16 and 144.52

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Solution

The fourth proportional to 161.44, 243.16 and 144.52 is: 217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.44 : 243.16 = 144.52 : x
  2. Step 2: Convert to fraction form
    161.44/243.16 = 144.52/x
  3. Step 3: Cross multiply
    161.44x = 243.16 × 144.52
  4. Step 4: Simplify right side
    161.44x = 35,141.48
  5. Step 5: Solve for x
    x = 35,141.48/161.44
  6. Step 6: Final answer
    x = 217.68

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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.