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Finding the Fourth Proportional to 419.21, 578.32 and 244.45

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Solution

The fourth proportional to 419.21, 578.32 and 244.45 is: 337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 578.32 = 244.45 : x
  2. Step 2: Convert to fraction form
    419.21/578.32 = 244.45/x
  3. Step 3: Cross multiply
    419.21x = 578.32 × 244.45
  4. Step 4: Simplify right side
    419.21x = 141,370.32
  5. Step 5: Solve for x
    x = 141,370.32/419.21
  6. Step 6: Final answer
    x = 337.23

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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.