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Finding the Fourth Proportional to 442.08, 662.62 and 247.04

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Solution

The fourth proportional to 442.08, 662.62 and 247.04 is: 370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.08 : 662.62 = 247.04 : x
  2. Step 2: Convert to fraction form
    442.08/662.62 = 247.04/x
  3. Step 3: Cross multiply
    442.08x = 662.62 × 247.04
  4. Step 4: Simplify right side
    442.08x = 163,693.64
  5. Step 5: Solve for x
    x = 163,693.64/442.08
  6. Step 6: Final answer
    x = 370.28

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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.