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Finding the Fourth Proportional to 419.35, 578.59 and 251.23

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Solution

The fourth proportional to 419.35, 578.59 and 251.23 is: 346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.35 : 578.59 = 251.23 : x
  2. Step 2: Convert to fraction form
    419.35/578.59 = 251.23/x
  3. Step 3: Cross multiply
    419.35x = 578.59 × 251.23
  4. Step 4: Simplify right side
    419.35x = 145,357.91
  5. Step 5: Solve for x
    x = 145,357.91/419.35
  6. Step 6: Final answer
    x = 346.63

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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.