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Finding the Fourth Proportional to 442.92, 664.48 and 260.46

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Solution

The fourth proportional to 442.92, 664.48 and 260.46 is: 390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.92 : 664.48 = 260.46 : x
  2. Step 2: Convert to fraction form
    442.92/664.48 = 260.46/x
  3. Step 3: Cross multiply
    442.92x = 664.48 × 260.46
  4. Step 4: Simplify right side
    442.92x = 173,070.46
  5. Step 5: Solve for x
    x = 173,070.46/442.92
  6. Step 6: Final answer
    x = 390.75

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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.