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Finding the Fourth Proportional to 453.04, 679.80 and 193.18

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Solution

The fourth proportional to 453.04, 679.80 and 193.18 is: 289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.04 : 679.80 = 193.18 : x
  2. Step 2: Convert to fraction form
    453.04/679.80 = 193.18/x
  3. Step 3: Cross multiply
    453.04x = 679.80 × 193.18
  4. Step 4: Simplify right side
    453.04x = 131,323.76
  5. Step 5: Solve for x
    x = 131,323.76/453.04
  6. Step 6: Final answer
    x = 289.87

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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.