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Finding the Fourth Proportional to 411.60, 617.42 and 230.15

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Solution

The fourth proportional to 411.60, 617.42 and 230.15 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.60 : 617.42 = 230.15 : x
  2. Step 2: Convert to fraction form
    411.60/617.42 = 230.15/x
  3. Step 3: Cross multiply
    411.60x = 617.42 × 230.15
  4. Step 4: Simplify right side
    411.60x = 142,101.33
  5. Step 5: Solve for x
    x = 142,101.33/411.60
  6. Step 6: Final answer
    x = 345.24

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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.