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Finding the Fourth Proportional to 410.20, 614.48 and 204.14

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Solution

The fourth proportional to 410.20, 614.48 and 204.14 is: 305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.20 : 614.48 = 204.14 : x
  2. Step 2: Convert to fraction form
    410.20/614.48 = 204.14/x
  3. Step 3: Cross multiply
    410.20x = 614.48 × 204.14
  4. Step 4: Simplify right side
    410.20x = 125,439.95
  5. Step 5: Solve for x
    x = 125,439.95/410.20
  6. Step 6: Final answer
    x = 305.80

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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.