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Finding the Fourth Proportional to 420.08, 632.75 and 381.80

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Solution

The fourth proportional to 420.08, 632.75 and 381.80 is: 575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.08 : 632.75 = 381.80 : x
  2. Step 2: Convert to fraction form
    420.08/632.75 = 381.80/x
  3. Step 3: Cross multiply
    420.08x = 632.75 × 381.80
  4. Step 4: Simplify right side
    420.08x = 241,578.88
  5. Step 5: Solve for x
    x = 241,578.88/420.08
  6. Step 6: Final answer
    x = 575.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.