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Finding the Fourth Proportional to 408.55, 562.39 and 310.27

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Solution

The fourth proportional to 408.55, 562.39 and 310.27 is: 427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.55 : 562.39 = 310.27 : x
  2. Step 2: Convert to fraction form
    408.55/562.39 = 310.27/x
  3. Step 3: Cross multiply
    408.55x = 562.39 × 310.27
  4. Step 4: Simplify right side
    408.55x = 174,492.75
  5. Step 5: Solve for x
    x = 174,492.75/408.55
  6. Step 6: Final answer
    x = 427.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.