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Finding the Fourth Proportional to 404.16, 605.78 and 172.71

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Solution

The fourth proportional to 404.16, 605.78 and 172.71 is: 258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.16 : 605.78 = 172.71 : x
  2. Step 2: Convert to fraction form
    404.16/605.78 = 172.71/x
  3. Step 3: Cross multiply
    404.16x = 605.78 × 172.71
  4. Step 4: Simplify right side
    404.16x = 104,624.26
  5. Step 5: Solve for x
    x = 104,624.26/404.16
  6. Step 6: Final answer
    x = 258.87

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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.