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Finding the Fourth Proportional to 442.33, 610.39 and 245.83

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Solution

The fourth proportional to 442.33, 610.39 and 245.83 is: 339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.33 : 610.39 = 245.83 : x
  2. Step 2: Convert to fraction form
    442.33/610.39 = 245.83/x
  3. Step 3: Cross multiply
    442.33x = 610.39 × 245.83
  4. Step 4: Simplify right side
    442.33x = 150,052.17
  5. Step 5: Solve for x
    x = 150,052.17/442.33
  6. Step 6: Final answer
    x = 339.23

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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.