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Finding the Fourth Proportional to 411.31, 617.19 and 320.19

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Solution

The fourth proportional to 411.31, 617.19 and 320.19 is: 480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.31 : 617.19 = 320.19 : x
  2. Step 2: Convert to fraction form
    411.31/617.19 = 320.19/x
  3. Step 3: Cross multiply
    411.31x = 617.19 × 320.19
  4. Step 4: Simplify right side
    411.31x = 197,614.55
  5. Step 5: Solve for x
    x = 197,614.55/411.31
  6. Step 6: Final answer
    x = 480.45

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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.