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Finding the Fourth Proportional to 442.84, 664.52 and 250.60

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Solution

The fourth proportional to 442.84, 664.52 and 250.60 is: 376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.84 : 664.52 = 250.60 : x
  2. Step 2: Convert to fraction form
    442.84/664.52 = 250.60/x
  3. Step 3: Cross multiply
    442.84x = 664.52 × 250.60
  4. Step 4: Simplify right side
    442.84x = 166,528.71
  5. Step 5: Solve for x
    x = 166,528.71/442.84
  6. Step 6: Final answer
    x = 376.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.