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Finding the Fourth Proportional to 400.30, 600.50 and 180.83

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Solution

The fourth proportional to 400.30, 600.50 and 180.83 is: 271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.30 : 600.50 = 180.83 : x
  2. Step 2: Convert to fraction form
    400.30/600.50 = 180.83/x
  3. Step 3: Cross multiply
    400.30x = 600.50 × 180.83
  4. Step 4: Simplify right side
    400.30x = 108,590.37
  5. Step 5: Solve for x
    x = 108,590.37/400.30
  6. Step 6: Final answer
    x = 271.27

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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.