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Finding the Fourth Proportional to 442.84, 611.22 and 287.32

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Solution

The fourth proportional to 442.84, 611.22 and 287.32 is: 396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 611.22 = 287.32 : x
  2. Step 2: Convert to fraction form
    442.84/611.22 = 287.32/x
  3. Step 3: Cross multiply
    442.84x = 611.22 × 287.32
  4. Step 4: Simplify right side
    442.84x = 175,615.73
  5. Step 5: Solve for x
    x = 175,615.73/442.84
  6. Step 6: Final answer
    x = 396.57

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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.