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Finding the Fourth Proportional to 410.05, 614.97 and 204.47

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Solution

The fourth proportional to 410.05, 614.97 and 204.47 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.05 : 614.97 = 204.47 : x
  2. Step 2: Convert to fraction form
    410.05/614.97 = 204.47/x
  3. Step 3: Cross multiply
    410.05x = 614.97 × 204.47
  4. Step 4: Simplify right side
    410.05x = 125,738.82
  5. Step 5: Solve for x
    x = 125,738.82/410.05
  6. Step 6: Final answer
    x = 306.64

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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.