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Finding the Fourth Proportional to 442.89, 665.34 and 366.15

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Solution

The fourth proportional to 442.89, 665.34 and 366.15 is: 550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.89 : 665.34 = 366.15 : x
  2. Step 2: Convert to fraction form
    442.89/665.34 = 366.15/x
  3. Step 3: Cross multiply
    442.89x = 665.34 × 366.15
  4. Step 4: Simplify right side
    442.89x = 243,614.24
  5. Step 5: Solve for x
    x = 243,614.24/442.89
  6. Step 6: Final answer
    x = 550.06

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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.