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Finding the Fourth Proportional to 459.38, 689.22 and 199.36

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Solution

The fourth proportional to 459.38, 689.22 and 199.36 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.38 : 689.22 = 199.36 : x
  2. Step 2: Convert to fraction form
    459.38/689.22 = 199.36/x
  3. Step 3: Cross multiply
    459.38x = 689.22 × 199.36
  4. Step 4: Simplify right side
    459.38x = 137,402.90
  5. Step 5: Solve for x
    x = 137,402.90/459.38
  6. Step 6: Final answer
    x = 299.11

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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.