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Finding the Fourth Proportional to 442.21, 608.86 and 375.68

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Solution

The fourth proportional to 442.21, 608.86 and 375.68 is: 517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.21 : 608.86 = 375.68 : x
  2. Step 2: Convert to fraction form
    442.21/608.86 = 375.68/x
  3. Step 3: Cross multiply
    442.21x = 608.86 × 375.68
  4. Step 4: Simplify right side
    442.21x = 228,736.06
  5. Step 5: Solve for x
    x = 228,736.06/442.21
  6. Step 6: Final answer
    x = 517.26

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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.