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Finding the Fourth Proportional to 599.09, 898.61 and 166.23

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Solution

The fourth proportional to 599.09, 898.61 and 166.23 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 898.61 = 166.23 : x
  2. Step 2: Convert to fraction form
    599.09/898.61 = 166.23/x
  3. Step 3: Cross multiply
    599.09x = 898.61 × 166.23
  4. Step 4: Simplify right side
    599.09x = 149,375.11
  5. Step 5: Solve for x
    x = 149,375.11/599.09
  6. Step 6: Final answer
    x = 249.34

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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.