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Finding the Fourth Proportional to 410.25, 614.97 and 193.44

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Solution

The fourth proportional to 410.25, 614.97 and 193.44 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 614.97 = 193.44 : x
  2. Step 2: Convert to fraction form
    410.25/614.97 = 193.44/x
  3. Step 3: Cross multiply
    410.25x = 614.97 × 193.44
  4. Step 4: Simplify right side
    410.25x = 118,959.80
  5. Step 5: Solve for x
    x = 118,959.80/410.25
  6. Step 6: Final answer
    x = 289.97

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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.