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Finding the Fourth Proportional to 442.24, 662.41 and 384.19

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Solution

The fourth proportional to 442.24, 662.41 and 384.19 is: 575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 662.41 = 384.19 : x
  2. Step 2: Convert to fraction form
    442.24/662.41 = 384.19/x
  3. Step 3: Cross multiply
    442.24x = 662.41 × 384.19
  4. Step 4: Simplify right side
    442.24x = 254,491.30
  5. Step 5: Solve for x
    x = 254,491.30/442.24
  6. Step 6: Final answer
    x = 575.46

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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.