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Finding the Fourth Proportional to 161.53, 243.16 and 139.21

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Solution

The fourth proportional to 161.53, 243.16 and 139.21 is: 209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.53 : 243.16 = 139.21 : x
  2. Step 2: Convert to fraction form
    161.53/243.16 = 139.21/x
  3. Step 3: Cross multiply
    161.53x = 243.16 × 139.21
  4. Step 4: Simplify right side
    161.53x = 33,849.44
  5. Step 5: Solve for x
    x = 33,849.44/161.53
  6. Step 6: Final answer
    x = 209.55

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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.