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Finding the Fourth Proportional to 419.72, 579.11 and 251.65

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Solution

The fourth proportional to 419.72, 579.11 and 251.65 is: 347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.72 : 579.11 = 251.65 : x
  2. Step 2: Convert to fraction form
    419.72/579.11 = 251.65/x
  3. Step 3: Cross multiply
    419.72x = 579.11 × 251.65
  4. Step 4: Simplify right side
    419.72x = 145,730.33
  5. Step 5: Solve for x
    x = 145,730.33/419.72
  6. Step 6: Final answer
    x = 347.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.