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Finding the Fourth Proportional to 161.14, 240.32 and 140.70

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Solution

The fourth proportional to 161.14, 240.32 and 140.70 is: 209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.14 : 240.32 = 140.70 : x
  2. Step 2: Convert to fraction form
    161.14/240.32 = 140.70/x
  3. Step 3: Cross multiply
    161.14x = 240.32 × 140.70
  4. Step 4: Simplify right side
    161.14x = 33,813.02
  5. Step 5: Solve for x
    x = 33,813.02/161.14
  6. Step 6: Final answer
    x = 209.84

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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.