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Finding the Fourth Proportional to 442.29, 610.94 and 336.74

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Solution

The fourth proportional to 442.29, 610.94 and 336.74 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.29 : 610.94 = 336.74 : x
  2. Step 2: Convert to fraction form
    442.29/610.94 = 336.74/x
  3. Step 3: Cross multiply
    442.29x = 610.94 × 336.74
  4. Step 4: Simplify right side
    442.29x = 205,726.75
  5. Step 5: Solve for x
    x = 205,726.75/442.29
  6. Step 6: Final answer
    x = 465.14

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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.