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Finding the Fourth Proportional to 442.96, 611.58 and 376.36

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Solution

The fourth proportional to 442.96, 611.58 and 376.36 is: 519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.96 : 611.58 = 376.36 : x
  2. Step 2: Convert to fraction form
    442.96/611.58 = 376.36/x
  3. Step 3: Cross multiply
    442.96x = 611.58 × 376.36
  4. Step 4: Simplify right side
    442.96x = 230,174.25
  5. Step 5: Solve for x
    x = 230,174.25/442.96
  6. Step 6: Final answer
    x = 519.63

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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.