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Finding the Fourth Proportional to 419.42, 578.85 and 270.05

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Solution

The fourth proportional to 419.42, 578.85 and 270.05 is: 372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.42 : 578.85 = 270.05 : x
  2. Step 2: Convert to fraction form
    419.42/578.85 = 270.05/x
  3. Step 3: Cross multiply
    419.42x = 578.85 × 270.05
  4. Step 4: Simplify right side
    419.42x = 156,318.44
  5. Step 5: Solve for x
    x = 156,318.44/419.42
  6. Step 6: Final answer
    x = 372.70

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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.