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Finding the Fourth Proportional to 442.12, 610.74 and 393.96

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Solution

The fourth proportional to 442.12, 610.74 and 393.96 is: 544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.12 : 610.74 = 393.96 : x
  2. Step 2: Convert to fraction form
    442.12/610.74 = 393.96/x
  3. Step 3: Cross multiply
    442.12x = 610.74 × 393.96
  4. Step 4: Simplify right side
    442.12x = 240,607.13
  5. Step 5: Solve for x
    x = 240,607.13/442.12
  6. Step 6: Final answer
    x = 544.21

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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.