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Finding the Fourth Proportional to 400.10, 596.37 and 380.61

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Solution

The fourth proportional to 400.10, 596.37 and 380.61 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.10 : 596.37 = 380.61 : x
  2. Step 2: Convert to fraction form
    400.10/596.37 = 380.61/x
  3. Step 3: Cross multiply
    400.10x = 596.37 × 380.61
  4. Step 4: Simplify right side
    400.10x = 226,984.39
  5. Step 5: Solve for x
    x = 226,984.39/400.10
  6. Step 6: Final answer
    x = 567.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.