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Finding the Fourth Proportional to 680.36, 1,020.40 and 193.48

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Solution

The fourth proportional to 680.36, 1,020.40 and 193.48 is: 290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.36 : 1,020.40 = 193.48 : x
  2. Step 2: Convert to fraction form
    680.36/1,020.40 = 193.48/x
  3. Step 3: Cross multiply
    680.36x = 1,020.40 × 193.48
  4. Step 4: Simplify right side
    680.36x = 197,426.99
  5. Step 5: Solve for x
    x = 197,426.99/680.36
  6. Step 6: Final answer
    x = 290.18

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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.