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Finding the Fourth Proportional to 442.16, 662.78 and 168.08

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Solution

The fourth proportional to 442.16, 662.78 and 168.08 is: 251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 662.78 = 168.08 : x
  2. Step 2: Convert to fraction form
    442.16/662.78 = 168.08/x
  3. Step 3: Cross multiply
    442.16x = 662.78 × 168.08
  4. Step 4: Simplify right side
    442.16x = 111,400.06
  5. Step 5: Solve for x
    x = 111,400.06/442.16
  6. Step 6: Final answer
    x = 251.95

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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.