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Finding the Fourth Proportional to 442.04, 610.20 and 294.62

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Solution

The fourth proportional to 442.04, 610.20 and 294.62 is: 406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 610.20 = 294.62 : x
  2. Step 2: Convert to fraction form
    442.04/610.20 = 294.62/x
  3. Step 3: Cross multiply
    442.04x = 610.20 × 294.62
  4. Step 4: Simplify right side
    442.04x = 179,778.65
  5. Step 5: Solve for x
    x = 179,778.65/442.04
  6. Step 6: Final answer
    x = 406.70

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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.