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Finding the Fourth Proportional to 411.13, 617.10 and 308.67

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Solution

The fourth proportional to 411.13, 617.10 and 308.67 is: 463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.13 : 617.10 = 308.67 : x
  2. Step 2: Convert to fraction form
    411.13/617.10 = 308.67/x
  3. Step 3: Cross multiply
    411.13x = 617.10 × 308.67
  4. Step 4: Simplify right side
    411.13x = 190,480.26
  5. Step 5: Solve for x
    x = 190,480.26/411.13
  6. Step 6: Final answer
    x = 463.31

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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.