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Finding the Fourth Proportional to 419.72, 578.94 and 272.54

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Solution

The fourth proportional to 419.72, 578.94 and 272.54 is: 375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.72 : 578.94 = 272.54 : x
  2. Step 2: Convert to fraction form
    419.72/578.94 = 272.54/x
  3. Step 3: Cross multiply
    419.72x = 578.94 × 272.54
  4. Step 4: Simplify right side
    419.72x = 157,784.31
  5. Step 5: Solve for x
    x = 157,784.31/419.72
  6. Step 6: Final answer
    x = 375.93

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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.