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Finding the Fourth Proportional to 442.57, 610.78 and 292.94

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Solution

The fourth proportional to 442.57, 610.78 and 292.94 is: 404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.57 : 610.78 = 292.94 : x
  2. Step 2: Convert to fraction form
    442.57/610.78 = 292.94/x
  3. Step 3: Cross multiply
    442.57x = 610.78 × 292.94
  4. Step 4: Simplify right side
    442.57x = 178,921.10
  5. Step 5: Solve for x
    x = 178,921.10/442.57
  6. Step 6: Final answer
    x = 404.28

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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.