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Finding the Fourth Proportional to 193.80, 290.70 and 161.40

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Solution

The fourth proportional to 193.80, 290.70 and 161.40 is: 242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.80 : 290.70 = 161.40 : x
  2. Step 2: Convert to fraction form
    193.80/290.70 = 161.40/x
  3. Step 3: Cross multiply
    193.80x = 290.70 × 161.40
  4. Step 4: Simplify right side
    193.80x = 46,918.98
  5. Step 5: Solve for x
    x = 46,918.98/193.80
  6. Step 6: Final answer
    x = 242.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.