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Finding the Fourth Proportional to 419.22, 578.70 and 345.78

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Solution

The fourth proportional to 419.22, 578.70 and 345.78 is: 477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.22 : 578.70 = 345.78 : x
  2. Step 2: Convert to fraction form
    419.22/578.70 = 345.78/x
  3. Step 3: Cross multiply
    419.22x = 578.70 × 345.78
  4. Step 4: Simplify right side
    419.22x = 200,102.89
  5. Step 5: Solve for x
    x = 200,102.89/419.22
  6. Step 6: Final answer
    x = 477.32

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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.