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Finding the Fourth Proportional to 411.76, 617.02 and 229.21

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Solution

The fourth proportional to 411.76, 617.02 and 229.21 is: 343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.76 : 617.02 = 229.21 : x
  2. Step 2: Convert to fraction form
    411.76/617.02 = 229.21/x
  3. Step 3: Cross multiply
    411.76x = 617.02 × 229.21
  4. Step 4: Simplify right side
    411.76x = 141,427.15
  5. Step 5: Solve for x
    x = 141,427.15/411.76
  6. Step 6: Final answer
    x = 343.47

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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.