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Finding the Fourth Proportional to 411.10, 617.10 and 228.40

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Solution

The fourth proportional to 411.10, 617.10 and 228.40 is: 342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.10 : 617.10 = 228.40 : x
  2. Step 2: Convert to fraction form
    411.10/617.10 = 228.40/x
  3. Step 3: Cross multiply
    411.10x = 617.10 × 228.40
  4. Step 4: Simplify right side
    411.10x = 140,945.64
  5. Step 5: Solve for x
    x = 140,945.64/411.10
  6. Step 6: Final answer
    x = 342.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.