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Finding the Fourth Proportional to 394.02, 590.22 and 263.62

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Solution

The fourth proportional to 394.02, 590.22 and 263.62 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.02 : 590.22 = 263.62 : x
  2. Step 2: Convert to fraction form
    394.02/590.22 = 263.62/x
  3. Step 3: Cross multiply
    394.02x = 590.22 × 263.62
  4. Step 4: Simplify right side
    394.02x = 155,593.80
  5. Step 5: Solve for x
    x = 155,593.80/394.02
  6. Step 6: Final answer
    x = 394.89

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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.