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Finding the Fourth Proportional to 442.36, 610.19 and 292.98

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Solution

The fourth proportional to 442.36, 610.19 and 292.98 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.36 : 610.19 = 292.98 : x
  2. Step 2: Convert to fraction form
    442.36/610.19 = 292.98/x
  3. Step 3: Cross multiply
    442.36x = 610.19 × 292.98
  4. Step 4: Simplify right side
    442.36x = 178,775.39
  5. Step 5: Solve for x
    x = 178,775.39/442.36
  6. Step 6: Final answer
    x = 404.14

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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.