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Finding the Fourth Proportional to 453.83, 680.13 and 193.59

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Solution

The fourth proportional to 453.83, 680.13 and 193.59 is: 290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.83 : 680.13 = 193.59 : x
  2. Step 2: Convert to fraction form
    453.83/680.13 = 193.59/x
  3. Step 3: Cross multiply
    453.83x = 680.13 × 193.59
  4. Step 4: Simplify right side
    453.83x = 131,666.37
  5. Step 5: Solve for x
    x = 131,666.37/453.83
  6. Step 6: Final answer
    x = 290.13

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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.