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Finding the Fourth Proportional to 442.28, 609.90 and 380.32

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Solution

The fourth proportional to 442.28, 609.90 and 380.32 is: 524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.28 : 609.90 = 380.32 : x
  2. Step 2: Convert to fraction form
    442.28/609.90 = 380.32/x
  3. Step 3: Cross multiply
    442.28x = 609.90 × 380.32
  4. Step 4: Simplify right side
    442.28x = 231,954.22
  5. Step 5: Solve for x
    x = 231,954.22/442.28
  6. Step 6: Final answer
    x = 524.45

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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.