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Finding the Fourth Proportional to 442.24, 609.60 and 398.08

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Solution

The fourth proportional to 442.24, 609.60 and 398.08 is: 548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 609.60 = 398.08 : x
  2. Step 2: Convert to fraction form
    442.24/609.60 = 398.08/x
  3. Step 3: Cross multiply
    442.24x = 609.60 × 398.08
  4. Step 4: Simplify right side
    442.24x = 242,669.57
  5. Step 5: Solve for x
    x = 242,669.57/442.24
  6. Step 6: Final answer
    x = 548.73

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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.