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Finding the Fourth Proportional to 442.86, 611.12 and 246.38

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Solution

The fourth proportional to 442.86, 611.12 and 246.38 is: 339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.86 : 611.12 = 246.38 : x
  2. Step 2: Convert to fraction form
    442.86/611.12 = 246.38/x
  3. Step 3: Cross multiply
    442.86x = 611.12 × 246.38
  4. Step 4: Simplify right side
    442.86x = 150,567.75
  5. Step 5: Solve for x
    x = 150,567.75/442.86
  6. Step 6: Final answer
    x = 339.99

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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.