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Finding the Fourth Proportional to 599.11, 898.52 and 209.06

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Solution

The fourth proportional to 599.11, 898.52 and 209.06 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.11 : 898.52 = 209.06 : x
  2. Step 2: Convert to fraction form
    599.11/898.52 = 209.06/x
  3. Step 3: Cross multiply
    599.11x = 898.52 × 209.06
  4. Step 4: Simplify right side
    599.11x = 187,844.59
  5. Step 5: Solve for x
    x = 187,844.59/599.11
  6. Step 6: Final answer
    x = 313.54

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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.