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Finding the Fourth Proportional to 161.78, 240.97 and 159.75

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Solution

The fourth proportional to 161.78, 240.97 and 159.75 is: 237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 240.97 = 159.75 : x
  2. Step 2: Convert to fraction form
    161.78/240.97 = 159.75/x
  3. Step 3: Cross multiply
    161.78x = 240.97 × 159.75
  4. Step 4: Simplify right side
    161.78x = 38,495.59
  5. Step 5: Solve for x
    x = 38,495.59/161.78
  6. Step 6: Final answer
    x = 237.96

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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.