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Finding the Fourth Proportional to 442.34, 610.37 and 245.84

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Solution

The fourth proportional to 442.34, 610.37 and 245.84 is: 339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.34 : 610.37 = 245.84 : x
  2. Step 2: Convert to fraction form
    442.34/610.37 = 245.84/x
  3. Step 3: Cross multiply
    442.34x = 610.37 × 245.84
  4. Step 4: Simplify right side
    442.34x = 150,053.36
  5. Step 5: Solve for x
    x = 150,053.36/442.34
  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.