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Finding the Fourth Proportional to 442.43, 610.02 and 359.40

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Solution

The fourth proportional to 442.43, 610.02 and 359.40 is: 495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.43 : 610.02 = 359.40 : x
  2. Step 2: Convert to fraction form
    442.43/610.02 = 359.40/x
  3. Step 3: Cross multiply
    442.43x = 610.02 × 359.40
  4. Step 4: Simplify right side
    442.43x = 219,241.19
  5. Step 5: Solve for x
    x = 219,241.19/442.43
  6. Step 6: Final answer
    x = 495.54

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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.