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Finding the Fourth Proportional to 419.94, 576.41 and 372.27

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Solution

The fourth proportional to 419.94, 576.41 and 372.27 is: 510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 576.41 = 372.27 : x
  2. Step 2: Convert to fraction form
    419.94/576.41 = 372.27/x
  3. Step 3: Cross multiply
    419.94x = 576.41 × 372.27
  4. Step 4: Simplify right side
    419.94x = 214,580.15
  5. Step 5: Solve for x
    x = 214,580.15/419.94
  6. Step 6: Final answer
    x = 510.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.