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Finding the Fourth Proportional to 419.27, 578.70 and 271.89

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Solution

The fourth proportional to 419.27, 578.70 and 271.89 is: 375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.27 : 578.70 = 271.89 : x
  2. Step 2: Convert to fraction form
    419.27/578.70 = 271.89/x
  3. Step 3: Cross multiply
    419.27x = 578.70 × 271.89
  4. Step 4: Simplify right side
    419.27x = 157,342.74
  5. Step 5: Solve for x
    x = 157,342.74/419.27
  6. Step 6: Final answer
    x = 375.28

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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.