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Finding the Fourth Proportional to 442.76, 611.75 and 350.47

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Solution

The fourth proportional to 442.76, 611.75 and 350.47 is: 484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.76 : 611.75 = 350.47 : x
  2. Step 2: Convert to fraction form
    442.76/611.75 = 350.47/x
  3. Step 3: Cross multiply
    442.76x = 611.75 × 350.47
  4. Step 4: Simplify right side
    442.76x = 214,395.21
  5. Step 5: Solve for x
    x = 214,395.21/442.76
  6. Step 6: Final answer
    x = 484.22

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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.