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Finding the Fourth Proportional to 414.60, 619.28 and 311.34

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Solution

The fourth proportional to 414.60, 619.28 and 311.34 is: 465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.60 : 619.28 = 311.34 : x
  2. Step 2: Convert to fraction form
    414.60/619.28 = 311.34/x
  3. Step 3: Cross multiply
    414.60x = 619.28 × 311.34
  4. Step 4: Simplify right side
    414.60x = 192,806.64
  5. Step 5: Solve for x
    x = 192,806.64/414.60
  6. Step 6: Final answer
    x = 465.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.