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Finding the Fourth Proportional to 442.60, 664.62 and 280.60

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Solution

The fourth proportional to 442.60, 664.62 and 280.60 is: 421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 664.62 = 280.60 : x
  2. Step 2: Convert to fraction form
    442.60/664.62 = 280.60/x
  3. Step 3: Cross multiply
    442.60x = 664.62 × 280.60
  4. Step 4: Simplify right side
    442.60x = 186,492.37
  5. Step 5: Solve for x
    x = 186,492.37/442.60
  6. Step 6: Final answer
    x = 421.36

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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.