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Finding the Fourth Proportional to 404.04, 605.90 and 160.56

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Solution

The fourth proportional to 404.04, 605.90 and 160.56 is: 240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.04 : 605.90 = 160.56 : x
  2. Step 2: Convert to fraction form
    404.04/605.90 = 160.56/x
  3. Step 3: Cross multiply
    404.04x = 605.90 × 160.56
  4. Step 4: Simplify right side
    404.04x = 97,283.30
  5. Step 5: Solve for x
    x = 97,283.30/404.04
  6. Step 6: Final answer
    x = 240.78

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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.