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Finding the Fourth Proportional to 419.32, 578.62 and 244.62

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Solution

The fourth proportional to 419.32, 578.62 and 244.62 is: 337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.32 : 578.62 = 244.62 : x
  2. Step 2: Convert to fraction form
    419.32/578.62 = 244.62/x
  3. Step 3: Cross multiply
    419.32x = 578.62 × 244.62
  4. Step 4: Simplify right side
    419.32x = 141,542.02
  5. Step 5: Solve for x
    x = 141,542.02/419.32
  6. Step 6: Final answer
    x = 337.55

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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.