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Finding the Fourth Proportional to 599.11, 898.61 and 188.29

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Solution

The fourth proportional to 599.11, 898.61 and 188.29 is: 282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.11 : 898.61 = 188.29 : x
  2. Step 2: Convert to fraction form
    599.11/898.61 = 188.29/x
  3. Step 3: Cross multiply
    599.11x = 898.61 × 188.29
  4. Step 4: Simplify right side
    599.11x = 169,199.46
  5. Step 5: Solve for x
    x = 169,199.46/599.11
  6. Step 6: Final answer
    x = 282.42

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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.