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Finding the Fourth Proportional to 599.20, 898.81 and 214.45

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Solution

The fourth proportional to 599.20, 898.81 and 214.45 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.20 : 898.81 = 214.45 : x
  2. Step 2: Convert to fraction form
    599.20/898.81 = 214.45/x
  3. Step 3: Cross multiply
    599.20x = 898.81 × 214.45
  4. Step 4: Simplify right side
    599.20x = 192,747.02
  5. Step 5: Solve for x
    x = 192,747.02/599.20
  6. Step 6: Final answer
    x = 321.68

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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.