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Finding the Fourth Proportional to 161.82, 240.78 and 161.28

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Solution

The fourth proportional to 161.82, 240.78 and 161.28 is: 239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 240.78 = 161.28 : x
  2. Step 2: Convert to fraction form
    161.82/240.78 = 161.28/x
  3. Step 3: Cross multiply
    161.82x = 240.78 × 161.28
  4. Step 4: Simplify right side
    161.82x = 38,833.00
  5. Step 5: Solve for x
    x = 38,833.00/161.82
  6. Step 6: Final answer
    x = 239.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.