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Finding the Fourth Proportional to 442.41, 608.34 and 393.20

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Solution

The fourth proportional to 442.41, 608.34 and 393.20 is: 540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.41 : 608.34 = 393.20 : x
  2. Step 2: Convert to fraction form
    442.41/608.34 = 393.20/x
  3. Step 3: Cross multiply
    442.41x = 608.34 × 393.20
  4. Step 4: Simplify right side
    442.41x = 239,199.29
  5. Step 5: Solve for x
    x = 239,199.29/442.41
  6. Step 6: Final answer
    x = 540.67

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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.