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Finding the Fourth Proportional to 442.02, 610.16 and 331.82

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Solution

The fourth proportional to 442.02, 610.16 and 331.82 is: 458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 610.16 = 331.82 : x
  2. Step 2: Convert to fraction form
    442.02/610.16 = 331.82/x
  3. Step 3: Cross multiply
    442.02x = 610.16 × 331.82
  4. Step 4: Simplify right side
    442.02x = 202,460.24
  5. Step 5: Solve for x
    x = 202,460.24/442.02
  6. Step 6: Final answer
    x = 458.03

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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.