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Finding the Fourth Proportional to 442.13, 610.20 and 337.37

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Solution

The fourth proportional to 442.13, 610.20 and 337.37 is: 465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 610.20 = 337.37 : x
  2. Step 2: Convert to fraction form
    442.13/610.20 = 337.37/x
  3. Step 3: Cross multiply
    442.13x = 610.20 × 337.37
  4. Step 4: Simplify right side
    442.13x = 205,860.12
  5. Step 5: Solve for x
    x = 205,860.12/442.13
  6. Step 6: Final answer
    x = 465.62

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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.