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Finding the Fourth Proportional to 400.69, 600.61 and 169.38

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Solution

The fourth proportional to 400.69, 600.61 and 169.38 is: 253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.69 : 600.61 = 169.38 : x
  2. Step 2: Convert to fraction form
    400.69/600.61 = 169.38/x
  3. Step 3: Cross multiply
    400.69x = 600.61 × 169.38
  4. Step 4: Simplify right side
    400.69x = 101,731.32
  5. Step 5: Solve for x
    x = 101,731.32/400.69
  6. Step 6: Final answer
    x = 253.89

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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.